Dear all, On Monday, February 2nd, at 14h00 in Aula Dal Passo in the Math Department of the University of Rome Tor Vergata, RoMaDS (https://www.mat.uniroma2.it/~rds/events.php) will host Alberto Chiarini (Università di Padova) with the seminar "Fluctuations of the Simple Exclusion Process on Point Processes” Abstract: The simple exclusion process is one of the most prominent models of interacting particle systems. In this seminar, we consider a resistor network whose nodes are sampled according to a simple point process on R^d and are connected by certain conductances. On top of this resistor network, particles move according to random walks with the rule that there is at most one particle per site. Under soft assumptions on the point process measure and conductances, which include ergodicity, stationarity and certain moment conditions, it is known that the empirical density of particles converges for almost all realisation of the environment to the solution of an heat equation with a certain homogenised diffusivity. In this talk, we examine its equilibrium fluctuations. For d≥3, under the same assumptions that ensure the hydrodynamical limit, we show that the empirical density fluctuation field converges for almost all realisation of the environment, in the sense of finite-dimensional distributions, to a generalised Ornstein-Uhlenbeck process. For d=2, if we require some additional regularity on the environment to have Hölder regularity estimates for solutions to parabolic problems, we can show that the same conclusion holds. We encourage in-person partecipation. Should you be unable to come, here is the link to the Teams streaming: Seminar Chiarini | Meeting-Join | Microsoft Teams <https://teams.microsoft.com/meet/35312566481713?p=TZW9dap5ukSeKLodvC> The seminar is part of the Excellence Project MatMod@TOV.