In their Inventiones paper [https://arxiv.org/pdf/2306.05983], Barraquand, Corwin and Yang introduced log-gamma polymer on the strip and defined its stationary measure. In this talk, I will review their framework, illustrating their main ideas graphically, and then present a new result concerning the associated phase diagram. The derivation of the phase diagram relies on Barraquand's description [https://arxiv.org/pdf/2409.08927] of the Laplace transform of the stationary measure of the log-gamma polymer in terms of the continuous dual Hahn process.
This talk is based on joint work in progress with Jacek Wesołowski, with a substantial contribution by Alexey Kuznetsov.