The speed of the tagged particle in the exclusion process on Galton-Watson trees

Abstract

We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying speed model. In both cases, the simple exclusion process starts from an equilibrium distribution with non-vanishing particle density. Moreover, we assume to have initially a particle in the root, the tagged particle. We show for both models that the tagged particle has a positive linear speed and we give explicit formulas for the speeds.

arXiv comment28 pages, 4 figures; rewritten in several parts, including now an appendix on Feller processes on Galton-Watson trees

References in corpus (4)

• Invariance principle for the random conductance model with unbounded conductances
• Random walks on Galton-Watson trees with random conductances
• One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments
• Limit theorems for the tagged particle in exclusion processes on regular trees

Cited by in corpus (1)

• Tensor approximation of the self-diffusion matrix of tagged particle processes