# Seminário de Análise, Geometria e Sistemas Dinâmicos

02/11/2017, 15:00 — 16:00 — Sala P4.35, Pavilhão de Matemática
Alexandre Boritchev, Institut Camille Jordan, Université Lyon 1

### A random particle system and nonentropy solutions of the Burgers equation on the circle

We consider a particle system which is equivalent to a process valued on the space of nonentropy solutions of the inviscid Burgers equation. Such solutions are conjectured to be relevant for the study of the KPZ fixed point. We prove ergodicity and obtain some properties of the stationary measure.

Joint work with C.-E. Bréhier (Lyon) and M. Mariani (Rome).