Séminaire de Probabilités commun ICJ/UMPA

Random walk on the simple symmetric exclusion process

by Augusto Teixeira

Fokko du Cloux (La Doua, Bâtiment Braconnier)

Fokko du Cloux

La Doua, Bâtiment Braconnier


In this talk we will discuss some of the history of random walks on dynamical random environments and we will present a recent result where the environment is given by a simple symmetric exclusion process. For this model, we are able to prove a law of large numbers for the displacement of the walk (for all but two densities of the underlying particle system) as well as a central limit theorem throughout its ballistic regimes. The main technique that we employ is a renormalization scheme that brings its inspiration from percolation theory.

joint work with Marcelo Hilário and Daniel Kious