arXiv:2003.02730 Abstract | arXiv Analytics

arXiv:2003.02730 [math.PR]Abstract References Reviews Resources

Interacting particle systems and random walks on Hecke algebras

Published 2020-03-05Version 1

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.

Categories: math.PR, math-ph, math.MP

Keywords: interacting particle systems, random walks, hecke algebras, asymmetric simple exclusion process, stochastic vertex models

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