Integrable (stochastic) interacting particle systems
Vortrag von Prof. Dr. Ivan Corwin
Datum: 29.05.13 Zeit: 17.15 - 18.15 Raum: Y27H25
I will explain a general approach useful in solving a variety of (stochastic) interacting particle systems including ASEP, q-TASEP (continuous and discrete time versions), q-pushTASEP, O'Connell-Yor semi-discrete directed polymer, and the stochastic heat equation (or equivalently the Kardar-Parisi-Zhang equation). The approach involves finding observables of the systems whose expectations evolve according to closed (deterministic) integrable evolution equations which can, in turn, be explicitly solved. Connections to the theory of Macdonald processes, Bethe ansatz and the polymer replica method will be made as well.