Dear Colleagues,

We would like to invite you to the following Probability seminar that will take place on April 16 at 12.00 by the zoom platform. ________________________________________________________

Speaker: Chiara Franceschini (IST Lisbona) Title: The symmetric inclusion process: some properties and scaling limit

16 APRIL (Friday) - 12:00 zoom link: TBA available on the webpage https://www.math.unipd.it/~bianchi/seminari/ )

Abstract: The symmetric inclusion process (SIP) is an interacting particle system discovered as the dual process of a Markov diffusion that conserves the total energy, it can be tough as the inclusion counterpart of the well-known exclusion process. In this talk, I will present the model with an open boundary, i.e. with two reservoirs which create a flux of particles in the bulk putting the model in a non-equilibrium setting. We will see that via the duality property, we can characterize some correlations of its stationary measure in non-equilibrium and we will also see what are, in this open setting, the so-called hydrodynamic and hydrostatic limit.