Seminario  di Probabilitą a Roma Tre


Alexandre Stauffer
 (University of Bath)

Titolo: Mixing time of random walks on dynamical percolation

Martedi' 04 Febbraio 2014 ORE 14:30

Dipartimento di Matematica e Fisica
Universita' degli Studi Roma Tre
AULA 211
Largo San L. Murialdo,1

Abstract
We study the behavior of random walk on dynamical percolation. In this
model, the edges of a graph G are either open or closed and refresh
their status at rate mu while at the same time a random walker moves
on G at rate 1 but only along edges which are open.
 On the d-dimensional torus with side length n, we prove that in the
subcritical regime, the mixing times is of order n^2/mu.
 We also obtain results concerning mean squared displacement and
hitting times.This is a joint work with Yuval Peres and Jeff Steif.