Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série LPTMS
Domaines cond-mat.stat-mech
Date Mardi 11 Octobre 2022
Heure 11:00
Institut LPTMS
Salle Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Nom de l'orateur Barraquand
Prenom de l'orateur Guillaume
Addresse email de l'orateur
Institution de l'orateur Ècole Normale Supérieure Paris
Titre Stationary measures for the KPZ equation
Résumé 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.
Numéro de preprint arXiv
Commentaires Hybrid: onsite seminar + zoom. For zoom info, please write to valentina.ros@universite-paris-saclay.fr or check LPTMS website.
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