Dear Colleagues,

We would like to invite you to the following SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi: *Exclusion Processes with non-reversible boundary: Hydrodynamics and Large Deviations* by *João Pedro Mangi* (*IMPA*)

The seminar will take place on TUE, 19.11.2024 at *11:00 CET* in Aula Tricerri, Dipartimento di Matematica e Informatica "Ulisse Dini", Università degli Studi di Firenze, and streamed online at this link https://meet.google.com/gji-phwo-vbg.

The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass -------------------------------------------- *Abstract: We consider a family of exclusion processes defined on the discrete interval with weak boundary interaction that allows the creation and annihilation of particles on a neighborhood of radius L of the boundary under very general rates. We prove that the hydrodynamic equation is the heat equation with non-linear Robin boundary conditions. We present a particular choice of boundary rates for which we have multiple stationary solutions but for which it still holds the uniqueness of the solution of its hydrodynamic equation. We also prove the associated dynamical large deviations principle. Joint work with Claudio Landim and Beatriz Salvador.*