CANCELLED: Diff. Geom, Math. Phys., PDE Seminar: Hao Shen
Topic
Scaling limits of open ASEP and ferromagnetic Glauber dynamics
Speakers
Details
We discuss two recent scaling limit results for discrete dynamics converging to stochastic PDEs. The first is the asymmetric simple exclusion process in contact with sources and sinks at boundaries, called Open ASEP. We prove that under weakly asymmetric scaling the height function converges to the KPZ equation with Neumann boundary conditions. The second is the Glauber dynamics of the Blume-Capel model (a generalization of Ising model), in two dimensions with Kac potential. We prove that the averaged spin field converges to the stochastic quantization equations. The main purpose of this talk is to discuss the general issues one needs to address when passing from discrete to continuum, the common challenge in the proofs of such scaling limit theorems, and how we overcome these difficulties in the two specific models. (Based on joint works with Ivan Corwin and Hendrik Weber)
Additional Information
Location: ESB 4133 (Location may change due to scheduling)
Hao Shen, Columbia University
Hao Shen, Columbia University
This is a Past Event
Event Type
Scientific, Seminar
Date
January 19, 2017
Time
-
Location