Event
Lenya Ryzhik (Stanford University)
Friday, May 3, 2019 16:00to17:00
Burnside Hall
Room 1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: The stochastic heat equation and KPZ in dimensions three and higher.
Abstract:聽The stochastic heat equation and the KPZ equation appear as the macroscopic limits for a large class of probabilistic models, and the study of KPZ, in particular, led to many fascinating developments in probability over the last decade or so, from the regularity structures to integrable probability. We will discuss a small group of recent results on these equations in simple settings, of the PDE flavour, that fall in line with what one may call naive expectations by an applied mathematician.