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Title:
A martingale problem for the KPZ equation
Speaker:
Abstract:
Energy solutions provide a way of formulating the equilibrium stochastic Burgers equation as a martingale problem. They were introduced in 2010 by Gonçalves and Jara as a tool to study the equilibrium fluctuations of weakly asymmetric particle systems, but until recently it was not known whether they are unique. In this talk I will show that the stronger formulation of Gubinelli, Jara (2013) gives rise to unique solutions and apply this to study the equilibrium fluctuations of weakly asymmetric Ginzburg-Landau dynamics. Based on joint works with Joscha Diehl and Massimiliano Gubinelli.
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