Interacting particle systems and random walks on Hecke algebras
Probability
2020-03-06 v1 Mathematical Physics
math.MP
Abstract
In this paper we show that a variety of interacting particle systems with multiple species can be viewed as random walks on Hecke algebras. This class of systems includes the asymmetric simple exclusion process (ASEP), M-exclusion TASEP, ASEP(q,j), stochastic vertex models, and many others. As an application, we study the asymptotic behavior of second class particles in some of these systems.
Cite
@article{arxiv.2003.02730,
title = {Interacting particle systems and random walks on Hecke algebras},
author = {Alexey Bufetov},
journal= {arXiv preprint arXiv:2003.02730},
year = {2020}
}