• Corpus ID: 212414930

Interacting particle systems and random walks on Hecke algebras

  title={Interacting particle systems and random walks on Hecke algebras},
  author={Alexey Bufetov},
  journal={arXiv: Probability},
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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