Mathematics Colloquia and Seminars

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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.