12–23 sept. 2016
Institut d'Études Scientifiques de Cargèse
Fuseau horaire Europe/Paris

Universal local limits for lozenge tilings and noncolliding random walks

Non programmé
50m
Institut d'Études Scientifiques de Cargèse

Institut d'Études Scientifiques de Cargèse

Menasina F-20130 CARGÈSE

Orateur

Vadim Gorin (Massachussets Institute of Technology and IITP RAS)

Description

The talk is about random lozenge tilings of large domains on the triangular grid and noncolliding simple random walks started from arbitrary initial conditions. We will discuss universal bulk local behavior for both systems and see the appearance of translation invariant ergodic Gibbs measures on tilings of the plane. An important role in the study is played by tilings of trapezoid domains: these are the most accessible integrable cases because of their connections to representation theory and symmetric functions.

Auteur principal

Vadim Gorin (Massachussets Institute of Technology and Institute for Information Transmission Problems of Russian Academy of Sciences)

Documents de présentation