Revision as of 15:09, 21 November 2016

Fall 2016

Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. We usually end for questions at 3:15 PM.

If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.

Thursday, September 8, Daniele Cappelletti, UW-Madison

Title: Reaction networks: comparison between deterministic and stochastic models

Abstract: Mathematical models for chemical reaction networks are widely used in biochemistry, as well as in other fields. The original aim of the models is to predict the dynamics of a collection of reactants that undergo chemical transformations. There exist two standard modeling regimes: a deterministic and a stochastic one. These regimes are chosen case by case in accordance to what is believed to be more appropriate. It is natural to wonder whether the dynamics of the two different models are linked, and whether properties of one model can shed light on the behavior of the other one. Some connections between the two modelling regimes have been known for forty years, and new ones have been pointed out recently. However, many open questions remain, and the issue is still largely unexplored.

Friday, September 16, 11 am Elena Kosygina, Baruch College and the CUNY Graduate Center

Please note the unusual day and time

The talk will be in Van Vleck 910 as usual.

Title: Homogenization of viscous Hamilton-Jacobi equations: a remark and an application.

Abstract: It has been pointed out in the seminal work of P.-L. Lions, G. Papanicolaou, and S.R.S. Varadhan that for the first order Hamilton-Jacobi (HJ) equation, homogenization starting with affine initial data should imply homogenization for general uniformly continuous initial data. The argument utilized the properties of the HJ semi-group, in particular, the finite speed of propagation. The last property is lost for viscous HJ equations. We remark that the above mentioned implication holds under natural conditions for both viscous and non-viscous Hamilton-Jacobi equations. As an application of our result, we show homogenization in a stationary ergodic setting for a special class of viscous HJ equations with a non-convex Hamiltonian in one space dimension. This is a joint work with Andrea Davini, Sapienza Università di Roma.

Thursday, September 22, Philip Matchett Wood, UW-Madison

Title: Low-degree factors of random polynomials

Abstract: We study the probability that a monic polynomial with integer coefficients has a low-degree factor over the integers. It is known that certain models are very likely to produce random polynomials that are irreducible, and our project can be viewed as part of a general program of testing whether this is a universal behavior exhibited by many random polynomial models. Interestingly, though the question comes from algebra and number theory, we primarily use tools from combinatorics, including additive combinatorics, and probability theory. We prove for a variety of models that it is very unlikely for a random polynomial with integer coefficients to have a low-degree factor—suggesting that this is, in fact, a universal behavior. For example, we show that the characteristic polynomial of random matrix with independent +1 or −1 entries is very unlikely to have a factor of degree up to [math]\displaystyle{ n^{1/2-\epsilon} }[/math]. Joint work with Sean O’Rourke. The talk will also discuss joint work with UW-Madison undergraduates Christian Borst, Evan Boyd, Claire Brekken, and Samantha Solberg, who were supported by NSF grant DMS-1301690 and co-supervised by Melanie Matchett Wood.

Thursday, September 29, Joseph Najnudel, University of Cincinnati

Title: On the maximum of the characteristic polynomial of the Circular Beta Ensemble

In this talk, we present our result on the extremal values of (the logarithm of) the characteristic polynomial of a random unitary matrix whose spectrum is distributed according to the Circular Beta Ensemble. Using different techniques, it gives an improvement and a generalization of the previous recent results by Arguin, Belius, Bourgade on the one hand, and Paquette, Zeitouni on the other hand. They recently treated the CUE case, which corresponds to beta equal to 2.

Thursday, October 6, No Seminar

Thursday, October 13, No Seminar due to Midwest Probability Colloquium

For details, see Midwest Probability Colloquium.

Thursday, October 20, Amol Aggarwal, Harvard

Title: Current Fluctuations of the Stationary ASEP and Six-Vertex Model

Abstract: We consider the following three models from statistical mechanics: the asymmetric simple exclusion process, the stochastic six-vertex model, and the ferroelectric symmetric six-vertex model. It had been predicted by the physics communities for some time that the limiting behavior for these models, run under certain classes of translation-invariant (stationary) boundary data, are governed by the large-time statistics of the stationary Kardar-Parisi-Zhang (KPZ) equation. The purpose of this talk is to explain these predictions in more detail and survey some of our recent work that verifies them.

Thursday, October 27, Hung Tran, UW-Madison

Title: Homogenization of non-convex Hamilton-Jacobi equations

Abstract: I will describe why it is hard to do homogenization for non-convex Hamilton-Jacobi equations and explain some recent results in this direction. I will also make a very brief connection to first passage percolation and address some challenging questions which appear in both directions. This is based on joint work with Qian and Yu.

Thursday, November 3, Alejandro deAcosta, Case-Western Reserve

Title: Large deviations for irreducible Markov chains with general state space

Abstract: We study the large deviation principle for the empirical measure of general irreducible Markov chains in the tao topology for a broad class of initial distributions. The roles of several rate functions, including the rate function based on the convergence parameter of the transform kernel and the Donsker-Varadhan rate function, are clarified.

Thursday, November 10, Louis Fan, UW-Madison

Title: Particle representations for (stochastic) reaction-diffusion equations

Abstract:

Reaction diffusion equations (RDE) is a popular tool to model complex spatial-temporal patterns including Turing patterns, traveling waves and periodic switching.

These models, however, ignore the stochasticity and individuality of many complex systems in nature. Recognizing this drawback, scientists are developing individual-based models for model selection purposes. The latter models are sometimes studied under the framework of interacting particle systems (IPS) by mathematicians, who prove scaling limit theorems to connect various IPS with RDE across scales.

In this talk, I will present some new limiting objects including SPDE on metric graphs and coupled SPDE. These SPDE reduce to RDE when the noise parameter tends to zero, therefore interpolates between IPS and RDE and identifies the source of stochasticity. Scaling limit theorems and novel duality formulas are obtained for these SPDE, which not only connect phenomena across scales, but also offer insights about the genealogies and time-asymptotic properties of certain population dynamics. In particular, I will present rigorous results about the lineage dynamics for of a biased voter model introduced by Hallatschek and Nelson (2007).

Thursday, November 24, No Seminar due to Thanksgiving

Thursday, December 1, Hao Shen, Columbia

Title: TBA

Friday, December 2, Colloquium Hao Shen, Columbia

4pm, Van Vleck 9th floor

Title: TBA

Thursday, December 8, TBA, TBA

Title: TBA

Thursday, December 15, TBA, TBA

Title: TBA

Past Seminars

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2	0.0352	1478632	wfIndexMain( )	.../index.php:46
3	0.0352	1478744	MediaWiki->run( )	.../index.php:50
4	0.0352	1478744	MediaWiki->main( )	.../MediaWiki.php:562
5	0.0431	1607736	MediaWiki->performRequest( )	.../MediaWiki.php:904
6	0.0516	1663800	MediaWiki->performAction( $article = class Article { protected $mContext = class RequestContext { private $request = class WebRequest { ... }; private $title = class Title { ... }; private $wikipage = class WikiPage { ... }; private $action = 'view'; private $output = class OutputPage { ... }; private $user = class User { ... }; private $authority = NULL; private $lang = class LanguageEn { ... }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { ... }; private $timing = NULL; private $config = class GlobalVarConfig { ... }; private $languageRecursion = FALSE }; protected $mPage = class WikiPage { protected $mTitle = class Title { ... }; protected $mDataLoaded = TRUE; private $mPageIsRedirectField = FALSE; private $mHasRedirectTarget = NULL; protected $mRedirectTarget = NULL; private $mIsNew = FALSE; private $mIsRedirect = FALSE; protected $mLatest = 19533; protected $mPreparedEdit = FALSE; protected $mId = 92; protected $mDataLoadedFrom = 0; private $mLastRevision = class MediaWiki\Revision\RevisionStoreRecord { ... }; protected $mTimestamp = '20200812221819'; protected $mTouched = '20200812221819'; protected $mLanguage = NULL; protected $mLinksUpdated = '20200812221848'; private $derivedDataUpdater = NULL }; public $mOldId = 12740; public $mRedirectedFrom = NULL; public $mRedirectUrl = FALSE; private $fetchResult = class Status { protected $ok = TRUE; protected $errors = [...]; public $value = class MediaWiki\Revision\RevisionStoreRecord { ... }; public $success = [...]; public $successCount = 0; public $failCount = 0; public $cleanCallback = FALSE; protected $messageLocalizer = NULL }; public $mParserOutput = NULL; protected $viewIsRenderAction = FALSE; protected $linkRenderer = class MediaWiki\Linker\LinkRenderer { private $forceArticlePath = FALSE; private $expandUrls = FALSE; private $comment = FALSE; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $linkCache = class LinkCache { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... } }; private $revisionStore = class MediaWiki\Revision\RevisionStore { private $blobStore = class MediaWiki\Storage\SqlBlobStore { ... }; private $wikiId = FALSE; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $cache = class WANObjectCache { ... }; private $localCache = class EmptyBagOStuff { ... }; private $commentStore = class CommentStore { ... }; private $actorMigration = class ActorMigration { ... }; private $actorStore = class MediaWiki\User\ActorStore { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $contentModelStore = class MediaWiki\Storage\NameTableStore { ... }; private $slotRoleStore = class MediaWiki\Storage\NameTableStore { ... }; private $slotRoleRegistry = class MediaWiki\Revision\SlotRoleRegistry { ... }; private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $pageStore = class MediaWiki\Page\PageStore { ... }; private $titleFactory = class TitleFactory { ... } }; private $watchlistManager = class MediaWiki\Watchlist\WatchlistManager { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $readOnlyMode = class ReadOnlyMode { ... }; private $revisionLookup = class MediaWiki\Revision\RevisionStore { ... }; private $talkPageNotificationManager = class MediaWiki\User\TalkPageNotificationManager { ... }; private $watchedItemStore = class WatchedItemStore { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $wikiPageFactory = class MediaWiki\Page\WikiPageFactory { ... }; private $notificationTimestampCache = [...] }; private $userNameUtils = class MediaWiki\User\UserNameUtils { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contentLang = class LanguageEn { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $textFormatter = class MediaWiki\Message\TextFormatter { ... }; private $reservedUsernames = FALSE; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tempUserConfig = class MediaWiki\User\TempUser\RealTempUserConfig { ... } }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $defaultOptionsLookup = class MediaWiki\User\DefaultOptionsLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $modifiedOptions = [...]; private $originalOptionsCache = [...]; private $optionsFromDb = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $queryFlagsUsedForCaching = [...] }; private $mRevisionRecord = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 12740; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20161121150927'; protected $mDeleted = 0; protected $mSize = 20553; protected $mSha1 = 'mkh21j7az0ugihnhann1tlxhxmfeyn1'; protected $mParentId = 12693; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = FALSE } }, $requestTitle = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [0 => 'en', 1 => 'en']; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE } )	.../MediaWiki.php:322
7	0.0519	1664008	ViewAction->show( )	.../MediaWiki.php:542
8	0.0523	1664096	Article->view( )	.../ViewAction.php:78
9	0.0534	1670184	Article->showDiffPage( )	.../Article.php:465
10	0.0549	1761392	DifferenceEngine->showDiffPage( $diffOnly = FALSE )	.../Article.php:908
11	0.1255	2452624	DifferenceEngine->renderNewRevision( )	.../DifferenceEngine.php:846
12	0.1262	2452848	DifferenceEngine->getParserOutput( $page = class WikiPage { protected $mTitle = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; protected $mDataLoaded = TRUE; private $mPageIsRedirectField = FALSE; private $mHasRedirectTarget = NULL; protected $mRedirectTarget = NULL; private $mIsNew = FALSE; private $mIsRedirect = FALSE; protected $mLatest = 19533; protected $mPreparedEdit = FALSE; protected $mId = 92; protected $mDataLoadedFrom = 0; private $mLastRevision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 19533; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = TRUE; protected $mTimestamp = '20200812221819'; protected $mDeleted = 0; protected $mSize = 7854; protected $mSha1 = 'k1a975a26losl4ut1vxbkqheey7n9rk'; protected $mParentId = 19350; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE }; protected $mTimestamp = '20200812221819'; protected $mTouched = '20200812221819'; protected $mLanguage = NULL; protected $mLinksUpdated = '20200812221848'; private $derivedDataUpdater = NULL }, $revRecord = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 12740; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { private $id = 79; private $name = 'Pmwood'; private $wikiId = FALSE }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20161121150927'; protected $mDeleted = 0; protected $mSize = 20553; protected $mSha1 = 'mkh21j7az0ugihnhann1tlxhxmfeyn1'; protected $mParentId = 12693; protected $mComment = class CommentStoreComment { public $id = '2678'; public $text = '/* Thursday, December 1, TBA, TBA */'; public $message = class RawMessage { ... }; public $data = NULL }; protected $mPage = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { protected $slots = [...] }; protected $mCurrent = FALSE } )	.../DifferenceEngine.php:1016
13	0.1263	2455624	WikiPage->getParserOutput( $parserOptions = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129050707'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $oldid = 12740, $noCache = ??? )	.../DifferenceEngine.php:1063
14	0.1284	2464016	MediaWiki\Page\ParserOutputAccess->getParserOutput( $page = class WikiPage { protected $mTitle = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; protected $mDataLoaded = TRUE; private $mPageIsRedirectField = FALSE; private $mHasRedirectTarget = NULL; protected $mRedirectTarget = NULL; private $mIsNew = FALSE; private $mIsRedirect = FALSE; protected $mLatest = 19533; protected $mPreparedEdit = FALSE; protected $mId = 92; protected $mDataLoadedFrom = 0; private $mLastRevision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 19533; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = TRUE; protected $mTimestamp = '20200812221819'; protected $mDeleted = 0; protected $mSize = 7854; protected $mSha1 = 'k1a975a26losl4ut1vxbkqheey7n9rk'; protected $mParentId = 19350; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE }; protected $mTimestamp = '20200812221819'; protected $mTouched = '20200812221819'; protected $mLanguage = NULL; protected $mLinksUpdated = '20200812221848'; private $derivedDataUpdater = NULL }, $parserOptions = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129050707'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 12740; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { private $id = 79; private $name = 'Pmwood'; private $wikiId = FALSE }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20161121150927'; protected $mDeleted = 0; protected $mSize = 20553; protected $mSha1 = 'mkh21j7az0ugihnhann1tlxhxmfeyn1'; protected $mParentId = 12693; protected $mComment = class CommentStoreComment { public $id = '2678'; public $text = '/* Thursday, December 1, TBA, TBA */'; public $message = class RawMessage { ... }; public $data = NULL }; protected $mPage = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { protected $slots = [...] }; protected $mCurrent = FALSE }, $options = 0 )	.../WikiPage.php:1290
15	0.1294	2465848	PoolCounterWork->execute( $skipcache = ??? )	.../ParserOutputAccess.php:299
16	0.1294	2466040	PoolWorkArticleViewOld->doWork( )	.../PoolCounterWork.php:162
17	0.1294	2466296	PoolWorkArticleView->renderRevision( )	.../PoolWorkArticleViewOld.php:66
18	0.1296	2469304	MediaWiki\Revision\RenderedRevision->getRevisionParserOutput( $hints = ??? )	.../PoolWorkArticleView.php:91
19	0.1296	2469304	call_user_func:{/var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php:199}( $callback = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $roleRegistery = class MediaWiki\Revision\SlotRoleRegistry { ... }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { ... }; private $dbDomain = FALSE }; public $parameter = ['$rrev' => '<required>', '$hints' => '<required>'] }, $args = class MediaWiki\Revision\RenderedRevision { private $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 12740; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20161121150927'; protected $mDeleted = 0; protected $mSize = 20553; protected $mSha1 = 'mkh21j7az0ugihnhann1tlxhxmfeyn1'; protected $mParentId = 12693; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = FALSE }; private $options = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $audience = 3; private $performer = NULL; private $revisionOutput = NULL; private $slotsOutput = []; private $combineOutput = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { ... }; public $parameter = [...] }; private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'SaveParse'; private $minimumLevel = 999; private $isDB = FALSE }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... } } }, [] )	.../RenderedRevision.php:199
20	0.1296	2469376	MediaWiki\Revision\RevisionRenderer->MediaWiki\Revision\{closure:/var/www/wiki_mediawiki-1.39.3/includes/Revision/RevisionRenderer.php:157-159}( $rrev = class MediaWiki\Revision\RenderedRevision { private $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 12740; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20161121150927'; protected $mDeleted = 0; protected $mSize = 20553; protected $mSha1 = 'mkh21j7az0ugihnhann1tlxhxmfeyn1'; protected $mParentId = 12693; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = FALSE }; private $options = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $audience = 3; private $performer = NULL; private $revisionOutput = NULL; private $slotsOutput = []; private $combineOutput = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { ... }; public $parameter = [...] }; private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'SaveParse'; private $minimumLevel = 999; private $isDB = FALSE }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... } } }, $hints = [] )	.../RenderedRevision.php:199
21	0.1296	2469376	MediaWiki\Revision\RevisionRenderer->combineSlotOutput( $rrev = class MediaWiki\Revision\RenderedRevision { private $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 12740; protected $mPageId = 92; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20161121150927'; protected $mDeleted = 0; protected $mSize = 20553; protected $mSha1 = 'mkh21j7az0ugihnhann1tlxhxmfeyn1'; protected $mParentId = 12693; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = FALSE }; private $options = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $audience = 3; private $performer = NULL; private $revisionOutput = NULL; private $slotsOutput = []; private $combineOutput = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { ... }; public $parameter = [...] }; private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'SaveParse'; private $minimumLevel = 999; private $isDB = FALSE }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... } } }, $hints = [] )	.../RevisionRenderer.php:158
22	0.1302	2470088	MediaWiki\Revision\RenderedRevision->getSlotParserOutput( $role = 'main', $hints = [] )	.../RevisionRenderer.php:221
23	0.1303	2469456	MediaWiki\Revision\RenderedRevision->getSlotParserOutputUncached( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...; private $redirectTargetAndText = [0 => NULL, 1 => '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...]; private $preSaveTransformFlags = [] }, $withHtml = TRUE )	.../RenderedRevision.php:237
24	0.1303	2469456	MediaWiki\Content\Renderer\ContentRenderer->getParserOutput( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...; private $redirectTargetAndText = [0 => NULL, 1 => '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...]; private $preSaveTransformFlags = [] }, $page = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [0 => 'en', 1 => 'en']; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $revId = 12740, $parserOptions = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129050707'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $generateHtml = TRUE )	.../RenderedRevision.php:265
25	0.1304	2469568	ContentHandler->getParserOutput( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...; private $redirectTargetAndText = [0 => NULL, 1 => '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...]; private $preSaveTransformFlags = [] }, $cpoParams = class MediaWiki\Content\Renderer\ContentParseParams { private $page = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $revId = 12740; private $parserOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $generateHtml = TRUE } )	.../ContentRenderer.php:47
26	0.1306	2471664	WikitextContentHandler->fillParserOutput( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...; private $redirectTargetAndText = [0 => NULL, 1 => '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'...]; private $preSaveTransformFlags = [] }, $cpoParams = class MediaWiki\Content\Renderer\ContentParseParams { private $page = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $revId = 12740; private $parserOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $generateHtml = TRUE }, $parserOutput = class ParserOutput { protected $mParseUsedOptions = []; protected $mCacheTime = ''; protected $mCacheExpiry = NULL; protected $mCacheRevisionId = NULL; private $mText = NULL; private $mLanguageLinks = []; private $mCategories = []; private $mIndicators = []; private $mTitleText = ''; private $mLinks = []; private $mLinksSpecial = []; private $mTemplates = []; private $mTemplateIds = []; private $mImages = []; private $mFileSearchOptions = []; private $mExternalLinks = []; private $mInterwikiLinks = []; private $mNewSection = FALSE; private $mHideNewSection = FALSE; private $mNoGallery = FALSE; private $mHeadItems = []; private $mModules = []; private $mModuleStyles = []; private $mJsConfigVars = []; private $mOutputHooks = []; private $mWarnings = []; private $mWarningMsgs = []; private $mSections = []; private $mProperties = []; private $mTOCHTML = ''; private $mTimestamp = NULL; private $mEnableOOUI = FALSE; private $mIndexSet = FALSE; private $mNoIndexSet = FALSE; private $mExtensionData = []; private $mLimitReportData = []; private $mLimitReportJSData = []; private $mCacheMessage = ''; private $mParseStartTime = []; private $mPreventClickjacking = FALSE; private $mExtraScriptSrcs = []; private $mExtraDefaultSrcs = []; private $mExtraStyleSrcs = []; private $mFlags = []; private $mSpeculativeRevId = NULL; private $speculativePageIdUsed = NULL; private $revisionTimestampUsed = NULL; private $revisionUsedSha1Base36 = NULL; private $mWrapperDivClasses = []; private $mMaxAdaptiveExpiry = INF } )	.../ContentHandler.php:1720
27	0.1306	2471664	Parser->parse( $text = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'..., $page = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [0 => 'en', 1 => 'en']; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $options = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129050707'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $linestart = TRUE, $clearState = TRUE, $revid = 12740 )	.../WikitextContentHandler.php:301
28	0.1307	2478936	Parser->internalParse( $text = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'..., $isMain = ???, $frame = ??? )	.../Parser.php:724
29	0.1308	2478968	Parser->replaceVariables( $text = '__NOTOC__\n\n= Fall 2016 =\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n== Thursday, September 8, Daniele Cappelletti, [http://www.math.wisc.edu UW-Madison] ==\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical'..., $frame = ???, $argsOnly = ??? )	.../Parser.php:1610
30	0.1326	2531912	PPFrame_Hash->expand( $root = class PPNode_Hash_Tree { public $name = 'root'; private $rawChildren = [0 => '__NOTOC__\n\n', 1 => [...], 2 => '\n\n<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted. \n<b>We usually end for questions at 3:15 PM.</b>\n\nIf you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.\n\n\n\n', 3 => [...], 4 => '\nTitle: \'\'\'Reaction networks: comparison between deterministic and stochastic models\'\'\'\n\nAbstract: Mathematical models for chemical reaction networks are widely used in biochemistry, as well as in other fields. The original aim of the models is to predict the dynamics of a collection of reactants that undergo chemical transformations. There exist two standard modeling regimes: a deterministic and a stochastic one. These regimes are chosen case by case in accordance to what is believed to be more appropriate'..., 5 => [...], 6 => '\n\n<div style="width:320px;height:50px;border:5px solid black">\n<b><span style="color:red"> Please note the unusual day and time </span></b>\n</div>\n\nThe talk will be in Van Vleck 910 as usual.\n\nTitle: \'\'\'Homogenization of viscous Hamilton-Jacobi equations: a remark and an application.\'\'\'\n\nAbstract: It has been pointed out in the seminal work of P.-L. Lions, G. Papanicolaou, and S.R.S. Varadhan that for the first order\nHamilton-Jacobi (HJ) equation, homogenization starting with affine initial data should impl'..., 7 => [...], 8 => '\nTitle: \'\'\'Low-degree factors of random polynomials\'\'\'\n\nAbstract: We study the probability that a monic polynomial with integer coefficients has a low-degree factor over the integers.\nIt is known that certain models are very likely to produce random polynomials that are irreducible, and our project\ncan be viewed as part of a general program of testing whether this is a universal behavior exhibited by many random\npolynomial models. Interestingly, though the question comes from algebra and number theory, we '..., 9 => [...], 10 => '. Joint work with Sean O’Rourke. The talk will also discuss joint work with UW-Madison \nundergraduates Christian Borst, Evan Boyd, Claire Brekken, and Samantha Solberg, who were supported\nby NSF grant DMS-1301690 and co-supervised by Melanie Matchett Wood.\n\n', 11 => [...], 12 => '\nTitle: \'\'\'On the maximum of the characteristic polynomial of the Circular Beta Ensemble\'\'\'\n\nIn this talk, we present our result on the extremal values of (the logarithm of) the characteristic polynomial of a random unitary matrix whose spectrum is distributed according to the Circular Beta Ensemble. Using different techniques, it gives an improvement and a generalization of the previous recent results by Arguin, Belius, Bourgade on the one hand, and Paquette, Zeitouni on the other hand. They recently trea'..., 13 => [...], 14 => '\n\n', 15 => [...], 16 => '\nFor details, see [http://sites.math.northwestern.edu/mwp/ Midwest Probability Colloquium].\n\n', 17 => [...], 18 => '\nTitle: Current Fluctuations of the Stationary ASEP and Six-Vertex Model\n\nAbstract: We consider the following three models from statistical mechanics: the asymmetric simple exclusion process, the stochastic six-vertex model, and the ferroelectric symmetric six-vertex model. It had been predicted by the physics communities for some time that the limiting behavior for these models, run under certain classes of translation-invariant (stationary) boundary data, are governed by the large-time statistics of the s'..., 19 => [...], 20 => '\n\nTitle: \'\'\'Homogenization of non-convex Hamilton-Jacobi equations\'\'\'\n\nAbstract: I will describe why it is hard to do homogenization for non-convex Hamilton-Jacobi equations and explain some recent results in this direction. I will also make a very brief connection to first passage percolation and address some challenging questions which appear in both directions. This is based on joint work with Qian and Yu.\n\n', 21 => [...], 22 => '\nTitle: \'\'\'Large deviations for irreducible Markov chains with general state space\'\'\'\n\nAbstract:\nWe study the large deviation principle for the empirical measure of general irreducible Markov chains in the tao topology for a broad class of initial distributions. The roles of several rate functions, including the rate function based on the convergence parameter of the transform kernel and the Donsker-Varadhan rate function, are clarified.\n\n', 23 => [...], 24 => '\n\nTitle: \'\'\'Particle representations for (stochastic) reaction-diffusion equations\'\'\'\n\n\nAbstract:\n\nReaction diffusion equations (RDE) is a popular tool to model complex spatial-temporal patterns including Turing patterns, traveling waves and periodic switching.\n\nThese models, however, ignore the stochasticity and individuality of many complex systems in nature. Recognizing this drawback, scientists are developing individual-based models for model selection purposes. The latter models are sometimes studied u'..., 25 => [...], 26 => '\n\n', 27 => [...], 28 => '\nTitle: TBA\n\n\n', 29 => [...], 30 => '\n\n4pm, Van Vleck 9th floor\n\nTitle: TBA\n\n', 31 => [...], 32 => '\nTitle: TBA\n\n', 33 => [...], 34 => '\nTitle: TBA\n\n\n\n\n\n', 35 => [...], 36 => '\n', 37 => [...], 38 => '\n\n\n\n', 39 => '[[Past Seminars]]']; private $store = [0 => [...]]; private $index = 0 }, $flags = 0 )	.../Parser.php:2955
31	0.1329	2539872	Parser->extensionSubstitution( $params = ['name' => class PPNode_Hash_Tree { public $name = 'name'; private $rawChildren = [...]; private $store = [...]; private $index = 0 }, 'attr' => class PPNode_Hash_Tree { public $name = 'attr'; private $rawChildren = [...]; private $store = [...]; private $index = 1 }, 'inner' => class PPNode_Hash_Tree { public $name = 'inner'; private $rawChildren = [...]; private $store = [...]; private $index = 2 }, 'close' => class PPNode_Hash_Tree { public $name = 'close'; private $rawChildren = [...]; private $store = [...]; private $index = 3 }], $frame = class PPFrame_Hash { public $parser = class Parser { private $mTagHooks = [...]; private $mFunctionHooks = [...]; private $mFunctionSynonyms = [...]; private $mStripList = [...]; private $mVarCache = [...]; private $mImageParams = [...]; private $mImageParamsMagicArray = [...]; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { ... }; private $mSubstWords = class MagicWordArray { ... }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]*?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $mPreprocessor = class Preprocessor_Hash { ... }; private $mOutput = class ParserOutput { ... }; private $mAutonumber = 0; private $mStripState = class StripState { ... }; private $mLinkHolders = class LinkHolderArray { ... }; private $mLinkID = 0; private $mIncludeSizes = [...]; public $mPPNodeCount = 8; public $mHighestExpansionDepth = 2; private $mTplRedirCache = [...]; public $mHeadings = [...]; private $mDoubleUnderscores = [...]; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = [...]; private $mUser = NULL; public $mOptions = class ParserOptions { ... }; public $mTitle = class Title { ... }; private $mOutputType = 1; public $ot = [...]; private $mRevisionId = 12740; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 20553; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = [...]; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { ... }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $factory = class ParserFactory { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $preprocessor = class Preprocessor_Hash { public $parser = class Parser { ... }; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; public $title = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $titleCache = [0 => 'Past_Probability_Seminars_Spring_2020']; public $loopCheckHash = []; public $depth = 0; private $volatile = FALSE; private $ttl = NULL; protected $childExpansionCache = []; private $maxPPNodeCount = 1000000; private $maxPPExpandDepth = 100 }, $processNowiki = FALSE )	.../PPFrame_Hash.php:353
32	0.1329	2540376	SimpleMathJaxHooks::renderMath( $tex = 'n^{1/2-\\epsilon}', $args = [], $parser = class Parser { private $mTagHooks = ['pre' => [...], 'nowiki' => [...], 'gallery' => [...], 'indicator' => [...], 'langconvert' => [...], 'math' => 'SimpleMathJaxHooks::renderMath', 'chem' => 'SimpleMathJaxHooks::renderChem', 'source' => [...], 'syntaxhighlight' => [...], 'ref' => [...], 'references' => [...]]; private $mFunctionHooks = ['ns' => [...], 'nse' => [...], 'urlencode' => [...], 'lcfirst' => [...], 'ucfirst' => [...], 'lc' => [...], 'uc' => [...], 'localurl' => [...], 'localurle' => [...], 'fullurl' => [...], 'fullurle' => [...], 'canonicalurl' => [...], 'canonicalurle' => [...], 'formatnum' => [...], 'grammar' => [...], 'gender' => [...], 'plural' => [...], 'bidi' => [...], 'numberofpages' => [...], 'numberofusers' => [...], 'numberofactiveusers' => [...], 'numberofarticles' => [...], 'numberoffiles' => [...], 'numberofadmins' => [...], 'numberingroup' => [...], 'numberofedits' => [...], 'language' => [...], 'padleft' => [...], 'padright' => [...], 'anchorencode' => [...], 'defaultsort' => [...], 'filepath' => [...], 'pagesincategory' => [...], 'pagesize' => [...], 'protectionlevel' => [...], 'protectionexpiry' => [...], 'namespace' => [...], 'namespacee' => [...], 'namespacenumber' => [...], 'talkspace' => [...], 'talkspacee' => [...], 'subjectspace' => [...], 'subjectspacee' => [...], 'pagename' => [...], 'pagenamee' => [...], 'fullpagename' => [...], 'fullpagenamee' => [...], 'rootpagename' => [...], 'rootpagenamee' => [...], 'basepagename' => [...], 'basepagenamee' => [...], 'subpagename' => [...], 'subpagenamee' => [...], 'talkpagename' => [...], 'talkpagenamee' => [...], 'subjectpagename' => [...], 'subjectpagenamee' => [...], 'pageid' => [...], 'revisionid' => [...], 'revisionday' => [...], 'revisionday2' => [...], 'revisionmonth' => [...], 'revisionmonth1' => [...], 'revisionyear' => [...], 'revisiontimestamp' => [...], 'revisionuser' => [...], 'cascadingsources' => [...], 'int' => [...], 'special' => [...], 'speciale' => [...], 'tag' => [...], 'formatdate' => [...], 'displaytitle' => [...]]; private $mFunctionSynonyms = [0 => [...], 1 => [...]]; private $mStripList = [0 => 'pre', 1 => 'nowiki', 2 => 'gallery', 3 => 'indicator', 4 => 'langconvert', 5 => 'math', 6 => 'chem', 7 => 'source', 8 => 'syntaxhighlight', 9 => 'ref', 10 => 'references']; private $mVarCache = []; private $mImageParams = []; private $mImageParamsMagicArray = []; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = [...]; private $baseRegex = NULL; private $regex = NULL }; private $mSubstWords = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = NULL; private $baseRegex = [...]; private $regex = NULL }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { private $server = 'https://wiki.math.wisc.edu'; private $canonicalServer = 'https://wiki.math.wisc.edu'; private $internalServer = 'https://wiki.math.wisc.edu'; private $fallbackProtocol = 'http'; private $httpsPort = 443; private $validProtocols = [...]; private $validProtocolsCache = 'bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/'; private $validAbsoluteProtocolsCache = NULL }; private $mPreprocessor = class Preprocessor_Hash { public $parser = ...; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; private $mOutput = class ParserOutput { protected $mParseUsedOptions = [...]; protected $mCacheTime = ''; protected $mCacheExpiry = NULL; protected $mCacheRevisionId = NULL; private $mText = NULL; private $mLanguageLinks = [...]; private $mCategories = [...]; private $mIndicators = [...]; private $mTitleText = ''; private $mLinks = [...]; private $mLinksSpecial = [...]; private $mTemplates = [...]; private $mTemplateIds = [...]; private $mImages = [...]; private $mFileSearchOptions = [...]; private $mExternalLinks = [...]; private $mInterwikiLinks = [...]; private $mNewSection = FALSE; private $mHideNewSection = FALSE; private $mNoGallery = FALSE; private $mHeadItems = [...]; private $mModules = [...]; private $mModuleStyles = [...]; private $mJsConfigVars = [...]; private $mOutputHooks = [...]; private $mWarnings = [...]; private $mWarningMsgs = [...]; private $mSections = [...]; private $mProperties = [...]; private $mTOCHTML = ''; private $mTimestamp = NULL; private $mEnableOOUI = FALSE; private $mIndexSet = FALSE; private $mNoIndexSet = FALSE; private $mExtensionData = [...]; private $mLimitReportData = [...]; private $mLimitReportJSData = [...]; private $mCacheMessage = ''; private $mParseStartTime = [...]; private $mPreventClickjacking = FALSE; private $mExtraScriptSrcs = [...]; private $mExtraDefaultSrcs = [...]; private $mExtraStyleSrcs = [...]; private $mFlags = [...]; private $mSpeculativeRevId = NULL; private $speculativePageIdUsed = NULL; private $revisionTimestampUsed = NULL; private $revisionUsedSha1Base36 = NULL; private $mWrapperDivClasses = [...]; private $mMaxAdaptiveExpiry = INF }; private $mAutonumber = 0; private $mStripState = class StripState { protected $data = [...]; protected $regex = '/\'"`UNIQ-([^<>&\'"]+)-QINU`"\'/'; protected $parser = ...; protected $circularRefGuard = [...]; protected $depth = 0; protected $highestDepth = 0; protected $expandSize = 0; protected $depthLimit = 20; protected $sizeLimit = 5000000 }; private $mLinkHolders = class LinkHolderArray { public $internals = [...]; public $interwikis = [...]; public $size = 0; public $parent = ...; private $languageConverter = class TrivialLanguageConverter { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $mLinkID = 0; private $mIncludeSizes = ['post-expand' => 0, 'arg' => 0]; public $mPPNodeCount = 8; public $mHighestExpansionDepth = 2; private $mTplRedirCache = []; public $mHeadings = [0 => [...], 1 => [...], 2 => [...], 3 => [...]]; private $mDoubleUnderscores = []; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = []; private $mUser = NULL; public $mOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; public $mTitle = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $mOutputType = 1; public $ot = ['html' => TRUE, 'wiki' => FALSE, 'pre' => FALSE, 'plain' => FALSE]; private $mRevisionId = 12740; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 20553; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = []; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { protected $start = NULL; protected $end = NULL; protected $stack = [...]; protected $workStack = [...]; protected $collated = [...]; protected $collateDone = FALSE; protected $errorEntry = [...]; protected $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { private $mVariableIDsInitialised = TRUE; private $mVariableIDs = [...]; private $mCacheTTLs = [...]; private $mDoubleUnderscoreIDs = [...]; private $mSubstIDs = [...]; private $mObjects = [...]; private $mDoubleUnderscoreArray = NULL; private $contLang = class LanguageEn { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $contLang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = [...]; private ${Language}namespaceInfo = class NamespaceInfo { ... }; private ${Language}localisationCache = class LocalisationCache { ... }; private ${Language}langNameUtils = class MediaWiki\Languages\LanguageNameUtils { ... }; private ${Language}langFallback = class MediaWiki\Languages\LanguageFallback { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private ${Language}hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private ${Language}hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private ${Language}config = class GlobalVarConfig { ... } }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { private $cache = [...]; private $converterList = [...]; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $isConversionDisabled = FALSE; private $isTitleConversionDisabled = FALSE; private $defaultLanguage = class Closure { ... } }; private $factory = class ParserFactory { private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $wanCache = class WANObjectCache { ... }; private $mainInstance = ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { private $list = [...]; private $aliases = [...]; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contLang = class LanguageEn { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $titleFactory = class TitleFactory { ... } }; private $titleFormatter = class MediaWikiTitleCodec { protected $language = class LanguageEn { ... }; protected $genderCache = class GenderCache { ... }; protected $localInterwikis = [...]; protected $interwikiLookup = class MediaWiki\Interwiki\ClassicInterwikiLookup { ... }; protected $nsInfo = class NamespaceInfo { ... }; private $createMalformedTitleException = class Closure { ... } }; private $svcOptions = class MediaWiki\Config\ServiceOptions { private $keys = [...]; private $options = [...] }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { private $titleFormatter = class MediaWikiTitleCodec { ... }; private $linkCache = class LinkCache { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... } }; private $nsInfo = class NamespaceInfo { private $alwaysCapitalizedNamespaces = [...]; private $canonicalNamespaces = [...]; private $namespaceIndexes = [...]; private $validNamespaces = [...]; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $logger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'Parser'; private $minimumLevel = 999; private $isDB = FALSE }; private $badFileLookup = class MediaWiki\BadFileLookup { private $listCallback = class Closure { ... }; private $cache = class EmptyBagOStuff { ... }; private $repoGroup = class RepoGroup { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $badFiles = NULL; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { private $dynamicHandlers = [...]; private $tombstones = [...]; private $handlersByName = [...]; private $registry = class MediaWiki\HookContainer\GlobalHookRegistry { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $nextScopedRegisterId = 0 }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { private $container = class MediaWiki\HookContainer\HookContainer { ... } }; private $tidy = class MediaWiki\Tidy\RemexDriver { protected $config = [...]; private $treeMutationTrace = FALSE; private $serializerTrace = FALSE; private $mungerTrace = FALSE; private $pwrap = TRUE; private $enableLegacyMediaDOM = TRUE }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $defaultOptionsLookup = class MediaWiki\User\DefaultOptionsLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $modifiedOptions = [...]; private $originalOptionsCache = [...]; private $optionsFromDb = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $queryFlagsUsedForCaching = [...] }; private $userFactory = class MediaWiki\User\UserFactory { private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $lastUserFromIdentity = NULL }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $trackingCategories = class TrackingCategories { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $namespaceInfo = class NamespaceInfo { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $extensionRegistry = class ExtensionRegistry { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $parserFactoryClosure = class Closure { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFactory = class TitleFactory { ... } }; private $userNameUtils = class MediaWiki\User\UserNameUtils { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contentLang = class LanguageEn { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $textFormatter = class MediaWiki\Message\TextFormatter { ... }; private $reservedUsernames = FALSE; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tempUserConfig = class MediaWiki\User\TempUser\RealTempUserConfig { ... } }; protected $deprecatedPublicProperties = ['mLinkID' => [...], 'mIncludeSizes' => [...], 'mDoubleUnderscores' => [...], 'mShowToc' => [...], 'mRevisionId' => [...], 'mRevisionTimestamp' => [...], 'mRevisionUser' => [...], 'mRevisionSize' => [...], 'mInputSize' => [...], 'mInParse' => [...], 'mFirstCall' => [...], 'mGeneratedPPNodeCount' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $frame = class PPFrame_Hash { public $parser = class Parser { private $mTagHooks = [...]; private $mFunctionHooks = [...]; private $mFunctionSynonyms = [...]; private $mStripList = [...]; private $mVarCache = [...]; private $mImageParams = [...]; private $mImageParamsMagicArray = [...]; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { ... }; private $mSubstWords = class MagicWordArray { ... }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $mPreprocessor = class Preprocessor_Hash { ... }; private $mOutput = class ParserOutput { ... }; private $mAutonumber = 0; private $mStripState = class StripState { ... }; private $mLinkHolders = class LinkHolderArray { ... }; private $mLinkID = 0; private $mIncludeSizes = [...]; public $mPPNodeCount = 8; public $mHighestExpansionDepth = 2; private $mTplRedirCache = [...]; public $mHeadings = [...]; private $mDoubleUnderscores = [...]; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = [...]; private $mUser = NULL; public $mOptions = class ParserOptions { ... }; public $mTitle = class Title { ... }; private $mOutputType = 1; public $ot = [...]; private $mRevisionId = 12740; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 20553; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = [...]; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { ... }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $factory = class ParserFactory { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $preprocessor = class Preprocessor_Hash { public $parser = class Parser { ... }; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; public $title = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $titleCache = [0 => 'Past_Probability_Seminars_Spring_2020']; public $loopCheckHash = []; public $depth = 0; private $volatile = FALSE; private $ttl = NULL; protected $childExpansionCache = []; private $maxPPNodeCount = 1000000; private $maxPPExpandDepth = 100 } )	.../Parser.php:4023
33	0.1329	2540472	SimpleMathJaxHooks::renderTex( $tex = '\\displaystyle{ n^{1/2-\\epsilon} }', $parser = class Parser { private $mTagHooks = ['pre' => [...], 'nowiki' => [...], 'gallery' => [...], 'indicator' => [...], 'langconvert' => [...], 'math' => 'SimpleMathJaxHooks::renderMath', 'chem' => 'SimpleMathJaxHooks::renderChem', 'source' => [...], 'syntaxhighlight' => [...], 'ref' => [...], 'references' => [...]]; private $mFunctionHooks = ['ns' => [...], 'nse' => [...], 'urlencode' => [...], 'lcfirst' => [...], 'ucfirst' => [...], 'lc' => [...], 'uc' => [...], 'localurl' => [...], 'localurle' => [...], 'fullurl' => [...], 'fullurle' => [...], 'canonicalurl' => [...], 'canonicalurle' => [...], 'formatnum' => [...], 'grammar' => [...], 'gender' => [...], 'plural' => [...], 'bidi' => [...], 'numberofpages' => [...], 'numberofusers' => [...], 'numberofactiveusers' => [...], 'numberofarticles' => [...], 'numberoffiles' => [...], 'numberofadmins' => [...], 'numberingroup' => [...], 'numberofedits' => [...], 'language' => [...], 'padleft' => [...], 'padright' => [...], 'anchorencode' => [...], 'defaultsort' => [...], 'filepath' => [...], 'pagesincategory' => [...], 'pagesize' => [...], 'protectionlevel' => [...], 'protectionexpiry' => [...], 'namespace' => [...], 'namespacee' => [...], 'namespacenumber' => [...], 'talkspace' => [...], 'talkspacee' => [...], 'subjectspace' => [...], 'subjectspacee' => [...], 'pagename' => [...], 'pagenamee' => [...], 'fullpagename' => [...], 'fullpagenamee' => [...], 'rootpagename' => [...], 'rootpagenamee' => [...], 'basepagename' => [...], 'basepagenamee' => [...], 'subpagename' => [...], 'subpagenamee' => [...], 'talkpagename' => [...], 'talkpagenamee' => [...], 'subjectpagename' => [...], 'subjectpagenamee' => [...], 'pageid' => [...], 'revisionid' => [...], 'revisionday' => [...], 'revisionday2' => [...], 'revisionmonth' => [...], 'revisionmonth1' => [...], 'revisionyear' => [...], 'revisiontimestamp' => [...], 'revisionuser' => [...], 'cascadingsources' => [...], 'int' => [...], 'special' => [...], 'speciale' => [...], 'tag' => [...], 'formatdate' => [...], 'displaytitle' => [...]]; private $mFunctionSynonyms = [0 => [...], 1 => [...]]; private $mStripList = [0 => 'pre', 1 => 'nowiki', 2 => 'gallery', 3 => 'indicator', 4 => 'langconvert', 5 => 'math', 6 => 'chem', 7 => 'source', 8 => 'syntaxhighlight', 9 => 'ref', 10 => 'references']; private $mVarCache = []; private $mImageParams = []; private $mImageParamsMagicArray = []; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = [...]; private $baseRegex = NULL; private $regex = NULL }; private $mSubstWords = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = NULL; private $baseRegex = [...]; private $regex = NULL }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]*?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { private $server = 'https://wiki.math.wisc.edu'; private $canonicalServer = 'https://wiki.math.wisc.edu'; private $internalServer = 'https://wiki.math.wisc.edu'; private $fallbackProtocol = 'http'; private $httpsPort = 443; private $validProtocols = [...]; private $validProtocolsCache = 'bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/'; private $validAbsoluteProtocolsCache = NULL }; private $mPreprocessor = class Preprocessor_Hash { public $parser = ...; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; private $mOutput = class ParserOutput { protected $mParseUsedOptions = [...]; protected $mCacheTime = ''; protected $mCacheExpiry = NULL; protected $mCacheRevisionId = NULL; private $mText = NULL; private $mLanguageLinks = [...]; private $mCategories = [...]; private $mIndicators = [...]; private $mTitleText = ''; private $mLinks = [...]; private $mLinksSpecial = [...]; private $mTemplates = [...]; private $mTemplateIds = [...]; private $mImages = [...]; private $mFileSearchOptions = [...]; private $mExternalLinks = [...]; private $mInterwikiLinks = [...]; private $mNewSection = FALSE; private $mHideNewSection = FALSE; private $mNoGallery = FALSE; private $mHeadItems = [...]; private $mModules = [...]; private $mModuleStyles = [...]; private $mJsConfigVars = [...]; private $mOutputHooks = [...]; private $mWarnings = [...]; private $mWarningMsgs = [...]; private $mSections = [...]; private $mProperties = [...]; private $mTOCHTML = ''; private $mTimestamp = NULL; private $mEnableOOUI = FALSE; private $mIndexSet = FALSE; private $mNoIndexSet = FALSE; private $mExtensionData = [...]; private $mLimitReportData = [...]; private $mLimitReportJSData = [...]; private $mCacheMessage = ''; private $mParseStartTime = [...]; private $mPreventClickjacking = FALSE; private $mExtraScriptSrcs = [...]; private $mExtraDefaultSrcs = [...]; private $mExtraStyleSrcs = [...]; private $mFlags = [...]; private $mSpeculativeRevId = NULL; private $speculativePageIdUsed = NULL; private $revisionTimestampUsed = NULL; private $revisionUsedSha1Base36 = NULL; private $mWrapperDivClasses = [...]; private $mMaxAdaptiveExpiry = INF }; private $mAutonumber = 0; private $mStripState = class StripState { protected $data = [...]; protected $regex = '/\'"`UNIQ-([^<>&\'"]+)-QINU`"\'/'; protected $parser = ...; protected $circularRefGuard = [...]; protected $depth = 0; protected $highestDepth = 0; protected $expandSize = 0; protected $depthLimit = 20; protected $sizeLimit = 5000000 }; private $mLinkHolders = class LinkHolderArray { public $internals = [...]; public $interwikis = [...]; public $size = 0; public $parent = ...; private $languageConverter = class TrivialLanguageConverter { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $mLinkID = 0; private $mIncludeSizes = ['post-expand' => 0, 'arg' => 0]; public $mPPNodeCount = 8; public $mHighestExpansionDepth = 2; private $mTplRedirCache = []; public $mHeadings = [0 => [...], 1 => [...], 2 => [...], 3 => [...]]; private $mDoubleUnderscores = []; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = []; private $mUser = NULL; public $mOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; public $mTitle = class Title { private $mTextform = 'Past Probability Seminars Spring 2020'; private $mUrlform = 'Past_Probability_Seminars_Spring_2020'; private $mDbkeyform = 'Past_Probability_Seminars_Spring_2020'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 92; protected $mLatestID = 19533; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Past Probability Seminars Spring 2020'; protected $mLength = 7854; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = [...]; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $mOutputType = 1; public $ot = ['html' => TRUE, 'wiki' => FALSE, 'pre' => FALSE, 'plain' => FALSE]; private $mRevisionId = 12740; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 20553; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = []; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { protected $start = NULL; protected $end = NULL; protected $stack = [...]; protected $workStack = [...]; protected $collated = [...]; protected $collateDone = FALSE; protected $errorEntry = [...]; protected $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { private $mVariableIDsInitialised = TRUE; private $mVariableIDs = [...]; private $mCacheTTLs = [...]; private $mDoubleUnderscoreIDs = [...]; private $mSubstIDs = [...]; private $mObjects = [...]; private $mDoubleUnderscoreArray = NULL; private $contLang = class LanguageEn { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $contLang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = [...]; private ${Language}namespaceInfo = class NamespaceInfo { ... }; private ${Language}localisationCache = class LocalisationCache { ... }; private ${Language}langNameUtils = class MediaWiki\Languages\LanguageNameUtils { ... }; private ${Language}langFallback = class MediaWiki\Languages\LanguageFallback { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private ${Language}hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private ${Language}hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private ${Language}config = class GlobalVarConfig { ... } }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { private $cache = [...]; private $converterList = [...]; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $isConversionDisabled = FALSE; private $isTitleConversionDisabled = FALSE; private $defaultLanguage = class Closure { ... } }; private $factory = class ParserFactory { private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $wanCache = class WANObjectCache { ... }; private $mainInstance = ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { private $list = [...]; private $aliases = [...]; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contLang = class LanguageEn { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $titleFactory = class TitleFactory { ... } }; private $titleFormatter = class MediaWikiTitleCodec { protected $language = class LanguageEn { ... }; protected $genderCache = class GenderCache { ... }; protected $localInterwikis = [...]; protected $interwikiLookup = class MediaWiki\Interwiki\ClassicInterwikiLookup { ... }; protected $nsInfo = class NamespaceInfo { ... }; private $createMalformedTitleException = class Closure { ... } }; private $svcOptions = class MediaWiki\Config\ServiceOptions { private $keys = [...]; private $options = [...] }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { private $titleFormatter = class MediaWikiTitleCodec { ... }; private $linkCache = class LinkCache { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... } }; private $nsInfo = class NamespaceInfo { private $alwaysCapitalizedNamespaces = [...]; private $canonicalNamespaces = [...]; private $namespaceIndexes = [...]; private $validNamespaces = [...]; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $logger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'Parser'; private $minimumLevel = 999; private $isDB = FALSE }; private $badFileLookup = class MediaWiki\BadFileLookup { private $listCallback = class Closure { ... }; private $cache = class EmptyBagOStuff { ... }; private $repoGroup = class RepoGroup { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $badFiles = NULL; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { private $dynamicHandlers = [...]; private $tombstones = [...]; private $handlersByName = [...]; private $registry = class MediaWiki\HookContainer\GlobalHookRegistry { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $nextScopedRegisterId = 0 }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { private $container = class MediaWiki\HookContainer\HookContainer { ... } }; private $tidy = class MediaWiki\Tidy\RemexDriver { protected $config = [...]; private $treeMutationTrace = FALSE; private $serializerTrace = FALSE; private $mungerTrace = FALSE; private $pwrap = TRUE; private $enableLegacyMediaDOM = TRUE }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $defaultOptionsLookup = class MediaWiki\User\DefaultOptionsLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $modifiedOptions = [...]; private $originalOptionsCache = [...]; private $optionsFromDb = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $queryFlagsUsedForCaching = [...] }; private $userFactory = class MediaWiki\User\UserFactory { private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $lastUserFromIdentity = NULL }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $trackingCategories = class TrackingCategories { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $namespaceInfo = class NamespaceInfo { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $extensionRegistry = class ExtensionRegistry { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $parserFactoryClosure = class Closure { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFactory = class TitleFactory { ... } }; private $userNameUtils = class MediaWiki\User\UserNameUtils { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contentLang = class LanguageEn { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $textFormatter = class MediaWiki\Message\TextFormatter { ... }; private $reservedUsernames = FALSE; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tempUserConfig = class MediaWiki\User\TempUser\RealTempUserConfig { ... } }; protected $deprecatedPublicProperties = ['mLinkID' => [...], 'mIncludeSizes' => [...], 'mDoubleUnderscores' => [...], 'mShowToc' => [...], 'mRevisionId' => [...], 'mRevisionTimestamp' => [...], 'mRevisionUser' => [...], 'mRevisionSize' => [...], 'mInputSize' => [...], 'mInParse' => [...], 'mFirstCall' => [...], 'mGeneratedPPNodeCount' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE } )	.../SimpleMathJaxHooks.php:26
34	0.1329	2540472	ParserOutput->addModules( $modules = 'ext.SimpleMathJax' )	.../SimpleMathJaxHooks.php:34
35	0.1329	2540472	wfDeprecated( $function = 'ParserOutput::addModules with non-array argument', $version = '1.38', $component = ???, $callerOffset = ??? )	.../ParserOutput.php:1180
36	0.1329	2540472	MWDebug::deprecated( $function = 'ParserOutput::addModules with non-array argument', $version = '1.38', $component = FALSE, $callerOffset = 3 )	.../GlobalFunctions.php:765
37	0.1329	2540600	MWDebug::deprecatedMsg( $msg = 'Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38.', $version = '1.38', $component = 'MediaWiki', $callerOffset = 4 )	.../MWDebug.php:233
38	0.1330	2542296	MWDebug::sendRawDeprecated( $msg = 'Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38. [Called from SimpleMathJaxHooks::renderTex in /var/www/wiki_mediawiki-1.39.3/extensions/SimpleMathJax/SimpleMathJaxHooks.php at line 34]', $sendToLog = TRUE, $callerFunc = 'SimpleMathJaxHooks::renderTex' )	.../MWDebug.php:351
39	0.1330	2542296	trigger_error( $message = 'Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38. [Called from SimpleMathJaxHooks::renderTex in /var/www/wiki_mediawiki-1.39.3/extensions/SimpleMathJax/SimpleMathJaxHooks.php at line 34]', $error_level = 16384 )	.../MWDebug.php:381

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0000	357848	{main}( )	.../index.php:0
2	0.0352	1478632	wfIndexMain( )	.../index.php:46
3	0.0352	1478744	MediaWiki->run( )	.../index.php:50
4	0.0352	1478744	MediaWiki->main( )	.../MediaWiki.php:562
5	0.1901	2883832	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.1901	2900408	WebResponse->header( $string = 'Content-type: text/html; charset=UTF-8', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2825
7	0.1901	2900600	header( $header = 'Content-type: text/html; charset=UTF-8', $replace = TRUE )	.../WebResponse.php:75

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0000	357848	{main}( )	.../index.php:0
2	0.0352	1478632	wfIndexMain( )	.../index.php:46
3	0.0352	1478744	MediaWiki->run( )	.../index.php:50
4	0.0352	1478744	MediaWiki->main( )	.../MediaWiki.php:562
5	0.1901	2883832	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.1904	2900520	WebResponse->header( $string = 'Content-language: en', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2826
7	0.1904	2900520	header( $header = 'Content-language: en', $replace = TRUE )	.../WebResponse.php:75

@@ Line 88: / Line 88: @@
 == Thursday, November 24, No Seminar due to Thanksgiving ==
-== Thursday, December 1, TBA, TBA ==
+== Thursday, December 1, [http://math.columbia.edu/~hshen/ Hao Shen], [http://math.columbia.edu/~hshen/ Columbia] ==
+Title:  TBA
+== Friday, December 2, Colloquium [http://math.columbia.edu/~hshen/ Hao Shen], [http://math.columbia.edu/~hshen/ Columbia] ==
+pm, Van Vleck 9th floor
 Title:  TBA

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0000	357848	{main}( )	.../index.php:0
2	0.0352	1478632	wfIndexMain( )	.../index.php:46
3	0.0352	1478744	MediaWiki->run( )	.../index.php:50
4	0.0352	1478744	MediaWiki->main( )	.../MediaWiki.php:562
5	0.1901	2883832	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.2925	3705216	OutputPage->sendCacheControl( )	.../OutputPage.php:2891
7	0.2926	3706232	WebResponse->header( $string = 'Vary: Accept-Encoding, Cookie', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2691
8	0.2926	3706232	header( $header = 'Vary: Accept-Encoding, Cookie', $replace = TRUE )	.../WebResponse.php:75

Past Probability Seminars Spring 2020: Difference between revisions

Revision as of 15:09, 21 November 2016

Fall 2016

Thursday, September 8, Daniele Cappelletti, UW-Madison

Friday, September 16, 11 am Elena Kosygina, Baruch College and the CUNY Graduate Center

Thursday, September 22, Philip Matchett Wood, UW-Madison

Thursday, September 29, Joseph Najnudel, University of Cincinnati

Thursday, October 6, No Seminar

Thursday, October 13, No Seminar due to Midwest Probability Colloquium

Thursday, October 20, Amol Aggarwal, Harvard

Thursday, October 27, Hung Tran, UW-Madison

Thursday, November 3, Alejandro deAcosta, Case-Western Reserve

Thursday, November 10, Louis Fan, UW-Madison

Thursday, November 24, No Seminar due to Thanksgiving

Thursday, December 1, Hao Shen, Columbia

Friday, December 2, Colloquium Hao Shen, Columbia

Thursday, December 8, TBA, TBA

Thursday, December 15, TBA, TBA

Navigation menu

Past Probability Seminars Spring 2020: Difference between revisions

Revision as of 15:09, 21 November 2016

Fall 2016

Thursday, September 8, Daniele Cappelletti, UW-Madison

Friday, September 16, 11 am Elena Kosygina, Baruch College and the CUNY Graduate Center

Thursday, September 22, Philip Matchett Wood, UW-Madison

Thursday, September 29, Joseph Najnudel, University of Cincinnati

Thursday, October 6, No Seminar

Thursday, October 13, No Seminar due to Midwest Probability Colloquium

Thursday, October 20, Amol Aggarwal, Harvard

Thursday, October 27, Hung Tran, UW-Madison

Thursday, November 3, Alejandro deAcosta, Case-Western Reserve

Thursday, November 10, Louis Fan, UW-Madison

Thursday, November 24, No Seminar due to Thanksgiving

Thursday, December 1, Hao Shen, Columbia

Friday, December 2, Colloquium Hao Shen, Columbia

Thursday, December 8, TBA, TBA

Thursday, December 15, TBA, TBA

Navigation menu

Search