Seminario di Probabilità 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.