Free energy distribution of the stationary O’Connell–Yor directed random polymer model
Free energy distribution of the stationary O’Connell–Yor directed random polymer model
We study the semi-discrete directed polymer model introduced by O'Connell-Yor in its stationary regime, based on our previous work on the stationary $q$-totally asymmetric simple exclusion process ($q$-TASEP) using a two-sided $q$-Whittaker process. We give a formula for the free energy distribution of the polymer model in terms of Fredholm …