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Probability and Combinatorics

Tuesday, December 5, 2023 - 3:30pm

Zongrui Yang

Columbia University


University of Pennsylvania


We prove that the stationary measures for the geometric last passage percolation (LPP) and log-gamma polymer models on a diagonal strip are given by the marginals of objects we call two-layer Gibbs measures. Taking an intermediate disorder limit of the log-gamma polymer stationary measure, we recover the conjectural description of the open KPZ equation stationary measure for all choices of boundary parameters. This is a joint work with Guillaume Barraquand and Ivan Corwin.