Local KPZ behavior under arbitrary scaling limits

Local KPZ behavior under arbitrary scaling limits

Probability Seminar
Feb 9, 2022, 03:10 PM - 04:00 PM | Zoom Meeting ID: 985 7941 4748 Passcode: 783431 Evans Hall | Happening As Scheduled
Sourav Chatterjee, Stanford University

One of the main difficulties in proving convergence of discrete models of surface growth to the Kardar-Parisi-Zhang (KPZ) equation in dimensions higher than one is that the correct way to take a scaling limit, so that the limit is nontrivial, is not known in a rigorous sense. The same problem has so far prevented the construction of nontrivial solutions of the KPZ equation in dimensions higher...