Nina Gantert

The tagged particle in exclusion processes on trees

We consider exclusion processes on regular trees, started from an equilibrium distribution, and give a formula for the speed of the tagged particle. Then we consider two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the variable speed model. We show for both models that the tagged particle has a positive linear speed and we give explicit formulas for the speeds. The talk is based on joint results with Dayue Chen, Peng Chen and Dominik Schmid.