Convergence of finite-range weakly asymmetric exclusion processes on a circle

Tuesday, September 26, 2017 -
3:00pm to 4:00pm
We consider spatially periodic growth models built from weakly asymmetric exclusion processes with finite-range jumps and rates depending locally on configuration. We prove that at a large scale and after renormalization these processes converge to the Hopf-Cole solution of the KPZ equation driven by Gaussian space-time white noise. Since the driving noise of the discrete equation decorrelates slowly in time, the hydrodynamic behaviour of the system needs to be exploited.
Konstantin Matetski
University of Toronto
Event Location: 
Fine Hall 110