Dear Colleagues, we would like to invite you to the following Probability seminar that will take place at the Department of Mathematics of Padova, on February 27. ________________________________________________________

Speaker: Alberto Chiarini (TU Eindhoven)

Title: Entropic repulsion for the occupation-time field of random interlacements by disconnection.

27 FEBRUARY (Thursday) , 11:30, ROOM 430, Dip. di Matematica “Tullio Levi-Civita”, Via Trieste 63, Padova

Abstract: The model of random interlacements was introduced in 2007 by A.-S. Sznitman, motivated by questions about the disconnection of discrete cylinders or tori by the trace of simple random walk. Since then, it has gained popularity among probabilists due to its percolative properties and also because of its connections to the free field. Random interlacements on transient graphs can be constructed as a Poisson point process of doubly infinite trajectories. After reviewing this model, we will focus on the rare event that these trajectories disconnect a macroscopic body from infinity, in the strongly percolative regime. We will ask the following question: What is the most efficient way for random interlacements to enforce such disconnection? In other words, how do the trajectories of random interlacements look like conditionally on disconnection?

All of you are very welcome.

Best regards, Alessandra Bianchi