Nina Gantert. The tagged particle in the exclusion processes on (regular and random) trees.

schedule le mardi 12 février 2019 de 14h00 à 15h00

Organisé par : LPSM

Intervenant : Nina Gantert. (T.U. Munich.)
Lieu : Jussieu, tours 16-26, 2ème étage, salle 209.

Sujet : N. Gantert. The tagged particle in the exclusion processes on (regular and random) trees

Résumé :

We study the simple exclusion process on supercritical Galton-Watson

trees. We start from an equilibrium distribution with non-vanishing

particle density. Moreover, we assume to have a particle at the root at

the beginning, the tagged particle. We consider two different versions

of the simple exclusion process, the constant speed model and the

varying speed model. In both cases, we show that the tagged particle has

a positive linear speed, and give an explicit formula for the speed.

We also address the validity of the central limit theorem.