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)