KPZ equation via paracontrolled distributions

Date
2014/10/24 Fri 15:30 - 17:00
Room
3号館552号室
Speaker
Massimiliano Gubinelli
Affiliation
CEREMADE Université Paris Dauphine
Abstract

The Kardar-Parisi-Zhang equation is a universal model of 1d growing interfaces introduced in 1986. Recently Hairer has shown how to use rough path theory to obtain a full well-posedness theory for it. In this talk I will revise the solution of the KPZ equation using paracontrolled calculus and discuss the properties of the solution and the convergence of discrete approximations to the continuum limit.