Probability and Stochastic Analysis Seminar  RSS

16/03/2022, 16:00 — 17:00 — Room P3.10, Mathematics Building Online
, ENS Paris

Invariant measures for the KPZ equation

It has been known for a long time that the Brownian motion is an invariant measure for the Kardar-Parisi-Zhang equation on the real line. For KPZ growth on bounded domains, however, the situation is more complicated. Stationary measures are typically not invariant by translation, non Gaussian, and they depend non trivially on boundary conditions. I will review recent progress on the characterization of invariant measures for the KPZ equation on a segment $[0,L]$ and on the half-line $\mathbb{R}_+$. Based on joint works with Pierre Le Doussal and Ivan Corwin.

link

Except for a few of the oldest sessions these are from the Seminário de Probabilidade e Mecânica Estatística at IMPA which is co-sponsored by several institutions, in particular Instituto Superior Técnico.