“Confined walk, interlacements and covering time”
Venerdì 6 Marzo 2026, ore 14:30 - Aula 2AB40 - Nicolas Bouchot (Universität Innsbruck)
Abstract
Random interlacements are understood to naturally arise as a full-volume limit of random walks spending a long time inside a domain. However, this understanding is somewhat indirect, as it is often through ways of large deviations principles. In this talk, I will present a straightforward model: the random walk confined inside a domain. We obtain a precise coupling between this confined walk and some interlacements tilted by the first Laplace eigenvector on the domain. As an application, I will present asymptotics for the covering time of subdomains by the confined walk.
