14/11/2019, 16:00 — 17:00 — Sala P4.35, Pavilhão de Matemática
Stefano Scotta, Instituto Superior Técnico
Equilibrium fluctuations for symmetric exclusion with long jumps and infinitely extended reservoirs
The aim of this work is the analysis of fluctuations around equilibrium for a diffusive and symmetric exclusion process with long jumps and infinitely extended reservoirs (introduced in [BGJO]). In particular we study how the parameters characterizing the model change the behavior of the stochastic fluctuations of the macroscopic density of particles around the equilibrium. We will see how the SPDE involved will pass from the one which solution is a generalized Ornstein-Uhlenbeck process when the reservoirs are weak, to an SPDE without diffusive term when the reservoirs are so strong that the fluctuations are only caused by their action.
Joint work with C. Bernardin, P. Gonçalves and M. Jara.
[BGJO] Bernardin, C., Gonçalves, P. and Oviedo Jimenez, B. Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps.