The Kardar-Parisi-Zhang equation, a weakly asymmetric exclusion process approximation

The Kardar-Parisi-Zhang equation, a weakly asymmetric exclusion process approximation

Oct 19, 2010, 02:00 PM - 03:30 PM | 736 Evans Hall | Happening As Scheduled
Ivan Corwin, Courant Institute (Speaker)
The Kardar-Parisi-Zhang equation is a stochastic PDE which, despite being mathematically ill-posed, is perhaps the default model for stochastically growing height interfaces. One way to make sense of this equation is to interpret it in terms of the solution to the stochastic heat equation (related via the Hopf-Cole transform). Bertini and Giacomin provided an approach which shows that this...