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Texas A&M University
Mathematics

Hiring Candidate - Dr. Jeffrey Kuan

Date: January 26, 2018

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Dr. Jeffrey Kuan, Columbia University

  

Description:

Title: Algebraic constructions of Markov duality functions

Abstract: 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.