Modul:   MAT971  Stochastische Prozesse

Random walk on the simple symmetric exclusion process

Talk by Dr. Augusto Teixeira

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.