Seminario di Probabilità

Giovedì 19 giugno  alle ore 16.00, Ons Rameh (Paris PSL) terrà il seminario di Probabilità dal titolo "Mixing time of the Asymmetric Zero Range process on the segment".

Abstract:
In this talk, we shall discuss the mixing time of the Asymmetric Zero Range process (AZRP) with non-decreasing jump rates on the segment. We will first study the hydrodynamic limit starting from the configuration where all particles are gathered on the left-most site. The macroscopic equilibrium time gives a lower bound on the mixing time. We will show the sharpness of this estimate when the system is asymmetric enough, which establishes the cut-off phenomenon. This extends earlier results of Labbe and Lacoin in the context of the asymmetric simple exclusion process.

Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, Via della Vasca Navale 84, aula B.