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The asymmetric exclusion process on the half line with general open boundaries

Algebra & Discrete Mathematics

Speaker: Jan de Gier, University of Melbourne
Related Webpage: https://blogs.unimelb.edu.au/jan-de-gier/
Location: 2112 MSB
Start time: Tue, May 28 2024, 11:00AM

I will present the derivation of an explicit expression for the transition probability of the ASEP on the half line with general, non-particle-conserving open boundaries. Using a vertex model approach we derive contour integral expressions for these transition probabilities, with particular emphasis on the empty-to-empty transition, which is the simplest while retaining all non-trivial features of the generic non-diagonal boundaries. Our formalism also provides a new Cauchy identity for boundary symmetric functions.