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Talk

Random walks on Hecke algebras and interacting particle systems

  • Alexey Bufetov (Hausdorff Center for Mathematics, Universität Bonn, Germany)
E1 05 (Leibniz-Saal)

Abstract

Interacting particle systems such as Asymmetric Simple Exclusion Process (=ASEP) form an interesting and well-studied class of stochastic systems.

It turns out that multi-species versions of several of interacting particle systems, including ASEP, can be interpreted as random walks on Hecke algebras. In the talk I will discuss this connection and its recent probabilistic applications. No preliminary knowledge about the topic is required.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail