Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTMS
Subjects cond-mat.stat-mech
Date Tuesday 11 October 2022
Time 11:00
Institute LPTMS
Seminar Room Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Speaker's Last Name Barraquand
Speaker's First Name Guillaume
Speaker's Email Address
Speaker's Institution Ècole Normale Supérieure Paris
Title Stationary measures for the KPZ equation
Abstract A solution h(x,t) of the KPZ equation in one dimension typically grows linearly in time with t^{1/3} fluctuations. The height gradient, however, or the differences of height between any two points, will reach a stationary state. In that sense, it has been known for a long time that the Brownian motion is a stationary measure for the KPZ equation on the full-line. For domains with boundaries such as [0,L] or R_+, stationary measures were characterized only recently using a combination of works by several groups, and can be described using Brownian motions reweighted by exponential functionals. The talk is based on joint works with Pierre Le Doussal and Ivan Corwin.
arXiv Preprint Number
Comments Hybrid: onsite seminar + zoom. For zoom info, please write to or check LPTMS website.

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