SEZIONE DI FIRENZE
Abstract: In this talk I shall discuss how to characterize the stationary measure of stochastic integrable systems through exchange/reflection equations. I shall apply this approach in two examples of stochastic particle models with exclusion that are integrable: the ASEP on a strip with open boundaries and a multiparticle TASEP with periodic BCs. For the first model I shall explain its relations with the theory of Koornwinder polynomials and use some basic results of that theory to extract physical observables like current or average occupation number. The second model is on the other hand related to a representation of a deformation of the 0-hecke algebra that I shall discuss and employ to compute the probability of certain configurations. (dr. Luigi Cantini)

DATA: 06-03-2019