Title: Stationary Measures for Open Boundary KPZ Models.
Abstract: I will introduce a new method to construct the stationary measure for open boundary KPZ models, focusing on geometric LPP, the log-gamma polymer, and the KPZ equation. The method realizes these stationary measures as marginals of two-layer Gibbs measures by constructing local Markov dynamics that preserve this class of measures and project on the top layer to the KPZ models. This is based on joint work with Guillaume Barraquand and Zongrui Yang.
Antonio Auffinger
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