Probability Seminar: Difference between revisions

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[[Probability | Back to Probability Group]]


= Spring 2022 =
[[Past Seminars]]
 
<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.
 
[https://uwmadison.zoom.us/j/91828707031?pwd=YUJXMUJkMDlPR0VRdkRCQVJtVndIdz09 ZOOM LINK. Valid only for online seminars.]
 
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].
 
 
== February 3, 2022, [https://uwmadison.zoom.us/j/91828707031?pwd=YUJXMUJkMDlPR0VRdkRCQVJtVndIdz09 ZOOM]: [https://zhipengliu.ku.edu/ Zhipeng Liu] (University of Kansas)    ==


'''One-point distribution of the geodesic in directed last passage percolation'''
= Fall 2023 =
<b>Thursdays at 2:30 PM either in 901 Van Vleck Hall or on Zoom</b>


In the recent twenty years, there has been a huge development in understanding the universal law behind a family of 2d random growth models, the so-called Kardar-Parisi-Zhang (KPZ) universality class. Especially, limiting distributions of the height functions are identified for a number of models in this class. Different from the height functions, the geodesics of these models are much less understood. There were studies on the qualitative properties of the geodesics in the KPZ universality class very recently,  but the precise limiting distributions of the geodesic locations remained unknown.
We usually end for questions at 3:20 PM.


In this talk, we will discuss our recent results on the one-point distribution of the geodesic of a representative model in the KPZ universality class, the directed last passage percolation with iid exponential weights. We will give the explicit formula of the one-point distribution of the geodesic location joint with the last passage times, and its limit when the parameters go to infinity under the KPZ scaling. The limiting distribution is believed to be universal for all the models in the KPZ universality class. We will further give some applications of our formulas.
== September 14, 2023: [https://www.mathjunge.com/ Matthew Junge] (CUNY) ==
'''The frog model on trees'''


== February 17, 2022, in person: [https://sites.math.northwestern.edu/~kivimae/ Pax Kivimae] (Northwestern University)  ==
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.


'''TBA'''
== September 21, 2023: [https://yierlin.me/ Yier Lin] (U. Chicago) ==
'''Large Deviations of the KPZ Equation and Most Probable Shapes'''


== February 24, 2022, [https://uwmadison.zoom.us/j/91828707031?pwd=YUJXMUJkMDlPR0VRdkRCQVJtVndIdz09 ZOOM]: [http://math.uchicago.edu/~lbenigni/ Lucas Benigni] (University of Chicago)  ==


'''TBA'''
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.


== March 3, 2022, in person: [https://math.wisc.edu/staff/keating-david/ David Keating] (UW-Madison)   ==  
== September 28, 2023: [https://warwick.ac.uk/fac/sci/statistics/staff/academic-research/rosati/ Tommaso Rosati] (U. Warwick) ==
'''The Allen-Cahn equation with weakly critical initial datum'''


'''TBA'''
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.


== March 10, 2022, format TBD: [https://qiangwu2.github.io/martingale/ Qiang Wu] (University of Illinois Urbana-Champaign)  ==  
== October 5, 2023: ==
'''Abstract, title: TBA'''


'''TBA'''
== October 12, 2023: No Seminar ==


== March 24, 2022, in person: [http://math.columbia.edu/~sayan/ Sayan Das] (Columbia University)  ==  
== October 19, 2023: ==


'''TBA'''
== October  26, 2023: Yuchen Liao (UW - Madison) ==
'''Abstract, title: TBA'''


== March 31, 2022, in person: [http://willperkins.org/ Will Perkins] (University of Illinois Chicago)   ==  
== November 2, 2023: [http://homepages.math.uic.edu/~couyang/ Cheng Ouyang] (U. Illinois Chicago) ==
'''Abstract, title: TBA'''


'''TBA'''
== November 9, 2023: [https://scottandrewsmith.github.io/ Scott Smith] (Chinese Academy of Sciences) ==
'''Abstract, title: TBA'''


== April 7, 2022, [https://uwmadison.zoom.us/j/91828707031?pwd=YUJXMUJkMDlPR0VRdkRCQVJtVndIdz09 ZOOM]: [https://sites.google.com/view/eliza-oreilly/home Eliza O'Reilly] (Caltech)  ==
== November 16, 2023: ==
'''Abstract, title: TBA'''


'''TBA'''
== November 23, 2023: No Seminar ==
'''No seminar. Thanksgiving.'''


== November 30, 2023: [http://web.mit.edu/youngtak/www/homepage.html Youngtak Sohn] (MIT) ==
'''Abstract, title: TBA'''


[[Past Seminars]]
== December 7, 2023: Minjae Park (U. Chicago) ==
'''Abstract, title: TBA'''

Latest 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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