Workshop: Weak noise theory of the O’Connell-Yor polymer and integrable matrix extensions

Speaker
Pierre Le Doussal, Laboratoire de Physique, ENS Paris

Abstract
I will first describe the large deviations for the O’Connell-Yor (OY) polymer in the weak noise regime. By relating these to an integrable discretisation of the non-linear Schrodinger equation, we can compute the rate functions. Next I will present matrix extensions of the continuum stochastic heat equation, log Gamma, and OY polymers, which we show are integrable in the weak noise limit. We also obtain their invariant measures. Based on https://arxiv.org/abs/2307.01172 https://arxiv.org/abs/2410.01764