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[[Past Seminars]]
[[Past Seminars]]


= Spring 2023 =
= Fall 2023 =
<b>Thursdays at 2:30 PM either in 901 Van Vleck Hall or on Zoom</b>


<b>Thursdays at 2:30 PM either in 901 Van Vleck Hall or on Zoom</b>
We usually end for questions at 3:20 PM.


We usually end for questions at 3:20 PM.
== September 14, 2023: [https://www.mathjunge.com/ Matthew Junge] (CUNY) ==
'''The frog model on trees'''


[https://uwmadison.zoom.us/j/91828707031?pwd=YUJXMUJkMDlPR0VRdkRCQVJtVndIdz09 ZOOM LINK. Valid only for online seminars.]
The frog model describes random activation and spread. Think combustion or an epidemic. I have studied these dynamics on ''d''-ary trees for ten years. I will discuss our progress and what remains to be done.


If you would like to sign up for the email list to receive seminar announcements then please join [https://groups.google.com/a/g-groups.wisc.edu/forum/#!forum/probsem our group].
== September 21, 2023: [https://yierlin.me/ Yier Lin] (U. Chicago) ==
'''Large Deviations of the KPZ Equation and Most Probable Shapes'''




== January 26, 2023, in person: [https://sites.google.com/wisc.edu/evan-sorensen?pli=1 Evan Sorensen] (UW-Madison)    ==
The KPZ equation is a stochastic PDE that plays a central role in a class of random growth phenomena. In this talk, we will explore the Freidlin-Wentzell LDP for the KPZ equation through the lens of the variational principle. Additionally, we will explain how to extract various limits of the most probable shape of the KPZ equation using the variational formula. We will also discuss an alternative approach for studying these quantities using the method of moments. This talk is based in part on joint works with Pierre Yves Gaudreau Lamarre and Li-Cheng Tsai.
'''The stationary horizon as a universal object for KPZ models'''
The last 5-10 years has seen remarkable progress in constructing the central objects of the KPZ universality class, namely the KPZ fixed point and directed landscape. In this talk, I will discuss a third central object known as the stationary horizon (SH). The SH is a coupling of Brownian motions with drifts, indexed by the real line, and it describes the unique coupled invariant measures for the directed landscape. I will talk about how the SH appears as the scaling limit of several models, including Busemann processes in last-passage percolation and the TASEP speed process. I will also discuss how the SH helps to describe the collection of infinite geodesics in all directions for the directed landscape. Based on joint work with Timo Seppäläinen and Ofer Busani.


== February 2, 2023, in person: [https://mathjinsukim.com/ Jinsu Kim] (POSTECH)   ==
== September 28, 2023: [https://warwick.ac.uk/fac/sci/statistics/staff/academic-research/rosati/ Tommaso Rosati] (U. Warwick) ==
'''Fast and slow mixing of continuous-time Markov chains with polynomial rates'''
'''The Allen-Cahn equation with weakly critical initial datum'''
Continuous-time Markov chains on infinite positive integer grids with polynomial rates are often used in modeling queuing systems, molecular counts of small-size biological systems, etc. In this talk, we will discuss continuous-time Markov chains that admit either fast or slow mixing behaviors. For a positive recurrent continuous-time Markov chain, the convergence rate to its stationary distribution is typically investigated with the Lyapunov function method and canonical path method. Recently, we discovered examples that do not lend themselves easily to analysis via those two methods but are shown to have either fast mixing or slow mixing with our new technique. The main ideas of the new methodologies are presented in this talk along with their applications to stochastic biochemical reaction network theory.


== February 9, 2023, in person: [https://www.math.tamu.edu/~jkuan/ Jeffrey Kuan] (Texas A&M)    ==
We study the 2D Allen-Cahn with white noise initial datum. In a weak coupling regime, where the nonlinearity is damped in relation to the smoothing of the initial condition, we prove Gaussian fluctuations. The effective variance that appears can be described as the solution to an ODE. Our proof builds on a Wild expansion of the solution, which is controlled through precise combinatorial estimates. Joint work with Simon Gabriel and Nikolaos Zygouras.


== February 16, 2023, in person: [http://math.columbia.edu/~milind/ Milind Hegde] (Columbia)    ==
== October 5, 2023: ==
'''Abstract, title: TBA'''


== February 23, 2023, in person: [https://sites.math.rutgers.edu/~sc2518/ Swee Hong Chan] (Rutgers)    ==
== October 12, 2023: No Seminar ==


== March 2, 2023, in person: Max Bacharach (UW-Madison)    ==
== October 19, 2023: ==


== March 9, 2023, in person: [https://math.uchicago.edu/~xuanw/ Xuan Wu] (U. Chicago)   ==
== October  26, 2023: Yuchen Liao (UW - Madison) ==
'''Abstract, title: TBA'''


== March 23, 2023, in person: Jiaming Xu (UW-Madison)   ==
== November 2, 2023: [http://homepages.math.uic.edu/~couyang/ Cheng Ouyang] (U. Illinois Chicago) ==
'''Abstract, title: TBA'''


== March 30, 2023, in person: [http://www.math.toronto.edu/balint/ Bálint Virág] (Toronto)   ==
== November 9, 2023: [https://scottandrewsmith.github.io/ Scott Smith] (Chinese Academy of Sciences) ==
'''Abstract, title: TBA'''


== April 13, 2023, in person: [https://msellke.com/ Mark Sellke] (Amazon)    ==
== November 16, 2023: ==
'''Abstract, title: TBA'''


== April 20, 2023, in person: [http://www.math.columbia.edu/~remy/ Guillaume Remy] (IAS)    ==
== November 23, 2023: No Seminar ==
'''No seminar. Thanksgiving.'''


== April 27, 2023, in person: [http://www.math.tau.ac.il/~peledron/ Ron Peled] (Tel Aviv/IAS)   ==
== November 30, 2023: [http://web.mit.edu/youngtak/www/homepage.html Youngtak Sohn] (MIT) ==
'''Abstract, title: TBA'''


== May 4, 2023, in person: [https://www.asc.ohio-state.edu/sivakoff.2// David Sivakoff] (Ohio State)   ==
== December 7, 2023: Minjae Park (U. Chicago) ==
'''Abstract, title: TBA'''

Revision as of 13:28, 25 September 2023

Back to Probability Group

Past Seminars

Fall 2023

Thursdays at 2:30 PM either in 901 Van Vleck Hall or on Zoom

We usually end for questions at 3:20 PM.

September 14, 2023: Matthew Junge (CUNY)

The frog model on trees

The frog model describes random activation and spread. Think combustion or an epidemic. I have studied these dynamics on d-ary trees for ten years. I will discuss our progress and what remains to be done.

September 21, 2023: Yier Lin (U. Chicago)

Large Deviations of the KPZ Equation and Most Probable Shapes


The KPZ equation is a stochastic PDE that plays a central role in a class of random growth phenomena. In this talk, we will explore the Freidlin-Wentzell LDP for the KPZ equation through the lens of the variational principle. Additionally, we will explain how to extract various limits of the most probable shape of the KPZ equation using the variational formula. We will also discuss an alternative approach for studying these quantities using the method of moments. This talk is based in part on joint works with Pierre Yves Gaudreau Lamarre and Li-Cheng Tsai.

September 28, 2023: Tommaso Rosati (U. Warwick)

The Allen-Cahn equation with weakly critical initial datum

We study the 2D Allen-Cahn with white noise initial datum. In a weak coupling regime, where the nonlinearity is damped in relation to the smoothing of the initial condition, we prove Gaussian fluctuations. The effective variance that appears can be described as the solution to an ODE. Our proof builds on a Wild expansion of the solution, which is controlled through precise combinatorial estimates. Joint work with Simon Gabriel and Nikolaos Zygouras.

October 5, 2023:

Abstract, title: TBA

October 12, 2023: No Seminar

October 19, 2023:

October 26, 2023: Yuchen Liao (UW - Madison)

Abstract, title: TBA

November 2, 2023: Cheng Ouyang (U. Illinois Chicago)

Abstract, title: TBA

November 9, 2023: Scott Smith (Chinese Academy of Sciences)

Abstract, title: TBA

November 16, 2023:

Abstract, title: TBA

November 23, 2023: No Seminar

No seminar. Thanksgiving.

November 30, 2023: Youngtak Sohn (MIT)

Abstract, title: TBA

December 7, 2023: Minjae Park (U. Chicago)

Abstract, title: TBA

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