# Probability Seminar: Difference between revisions

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[[Probability | Back to Probability Group]] | |||

[[Past Seminars]] | |||

<b>Thursdays in 901 Van Vleck Hall | = Fall 2023 = | ||

<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. | |||

== September 14, 2023: [https://www.mathjunge.com/ Matthew Junge] (CUNY) == | |||

'''The frog model on trees''' | |||

== September | |||

''' | 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: [https://yierlin.me/ 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: [https://warwick.ac.uk/fac/sci/statistics/staff/academic-research/rosati/ 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 | == October 26, 2023: Yuchen Liao (UW - Madison) == | ||

'''Abstract, title: TBA''' | |||

''' | == November 2, 2023: [http://homepages.math.uic.edu/~couyang/ Cheng Ouyang] (U. Illinois Chicago) == | ||

'''Abstract, title: TBA''' | |||

== November 9, 2023: [https://scottandrewsmith.github.io/ 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: [http://web.mit.edu/youngtak/www/homepage.html Youngtak Sohn] (MIT) == | |||

'''Abstract, title: TBA''' | |||

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

'''Abstract, title: TBA''' | |||

== | |||

Abstract | |||

## Latest revision as of 13:28, 25 September 2023

# 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**