# Past Probability Seminars Spring 2020: Difference between revisions

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## Revision as of 01:53, 5 February 2019

# Spring 2019

**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

## January 31, Oanh Nguyen, Princeton

Title: **Survival and extinction of epidemics on random graphs with general degrees**

Abstract: We establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. short survival). We prove that the survival threshold $\lambda_1$ for a Galton-Watson tree is strictly positive if and only if its offspring distribution has an exponential tail, settling a conjecture by Huang and Durrett. On the random graph with degree distribution $D$, we show that if $D$ has an exponential tail, then for small enough $\lambda$ the contact process with the all-infected initial condition survives for polynomial time with high probability, while for large enough $\lambda$ it runs over exponential time with high probability. When $D$ is subexponential, the contact process typically displays long survival for any fixed $\lambda>0$. Joint work with Shankar Bhamidi, Danny Nam, and Allan Sly.

## Wednesday, February 6 at 4:00pm in Van Vleck 901 , Li-Cheng Tsai, Columbia University

Title: **When particle systems meet PDEs**

Abstract: Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems..

## February 7, Yu Gu, CMU

Title: **Fluctuations of the KPZ equation in d\geq 2 in a weak disorder regime**

Abstract: We will discuss some recent work on the Edwards-Wilkinson limit of the KPZ equation with a small coupling constant in d\geq 2.

## February 14, TBA

## February 21, TBA

## Wednesday, February 27 at 1:10pm Jon Peterson, Purdue

** Please note the unusual day and time.
**