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arXiv · 2003.02730

Interacting particle systems and random walks on Hecke algebras

Alexey Bufetov
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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.

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Alexey Bufetov. 2020-03-05. Interacting particle systems and random walks on Hecke algebras. https://arxiv.org/abs/2003.02730

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