Dear all, Next Monday RoMaDS will host at the Department of Mathematics of the University of Rome, Tor Vergata the seminar
Monday, 18th May
Franco Severo (Sorbonne Université) "Level set percolation of smooth Gaussian fields: an overview" 14h00-15h00, Department of Mathematics, Aula Dal Passo. Abstract Consider the connected components of the level sets of a smooth Gaussian field on the d-dimensional Euclidean space. For which levels does an unbounded connected component appear? When it exists, is it unique? What is the typical size of large bounded components and how does it depend on the level? What happens at the critical level? How do the answers to these questions depend on the dimension and on the correlation decay? These natural questions lie at the heart of level-set percolation of smooth gaussian fields, a topic that has seen significant progress over the past decade. In this talk, I will give an overview of several recent results in the field and highlight a number of open problems that remain to be addressed. We encourage in-person partecipation. Should you be unable to come, here is the link to the Teams streaming: https://teams.microsoft.com/meet/324713312710924?p=fSpsvvN4aZ6M6ZjvFk The seminar is part of the Excellence Project MatMod@TOV.