Modul: MAT971 Stochastische Prozesse

## Random walk on the simple symmetric exclusion process

Dr. Augusto Teixeira talk

**Date:** 25.09.19 **Time:** 17.15 - 18.15 **Room:** ETH HG G 43

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.