Algebraic constructions of Markov duality functions

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Jeffrey Kuan
Columbia University
Fri, 12/08/2017 - 3:00pm - 4:00pm
RH 306

Markov duality in spin chains and exclusion processes has found a wide variety of applications throughout probability theory. We review the duality of the asymmetric simple exclusion process (ASEP) and its underlying algebraic symmetry. We then explain how the algebraic structure leads to a wide generalization of models with duality, such as higher spin exclusion processes, zero range processes, stochastic vertex models, and their multi-species analogues.