Applied Probability Seminar (2026-27)

This is an informal seminar to give academic staff, visitors, graduate students, etc., based or hosted in Warwick (any department), the opportunity to know more about each other’s research on topics of probability and its uses in related areas such as mathematical statistics, statistical physics, computer sciences, analysis, etc..

PhD students and postdocs are particularly encouraged to contribute, as well as any external speaker from other departments or universities that you would like to invite. Please contact Paul Chleboun [paul.i.chleboun@warwick.ac.uk] if you wish to give a talk or if you have a name of speaker to suggest.

Given the informal nature of the seminar, last minute changes to the schedule may occur.

The seminar is held on Fridays in MB0.08, 11:00 - 12:00

Term 1

(Week 2) 16 October 2026

Speaker: Daniel Valesin (Warwick, Stats)

Title: Percolation on the stationary distributions of the voter model with stirring

Abstract: The voter model with stirring is a variant of the classical voter model where, in addition to copying neighbouring opinions at rate 1, we allow voters to interchange their opinions with neighbours with rate $v greater than zero$ . When considered in $Zd$ , it was proved (Astoquillca '24) that this process has a similar set of stationary distributions as the classical voter model. In particular, in dimensions 3 and higher, for each $v$, there is a one-parameter family of stationary measures $mu sub alpha v$ , with $alpha in zero one$ is the density of voters with opinion 1. Sampling a configuration $xi$ from $mu sub alpha v$ , we study $xi$ as a site percolation model on $Zd$ , where the set of occupied sites is the set of voters with opinion 1. We prove that as $v to infinity$ , the critical percolation threshold $alpha sub c of v$ of this model converges to $p c$ , the critical parameter for Bernoulli site percolation on $Zd$ .