Seminario de Análisis y Aplicaciones

Ponente: Istvan Prause

Lugar: Aula 520, Módulo 17

Día y hora: Miércoles 16 de Octubre 2024; 12:30-13:30 (Día y hora no usuales!!!!!!!!!!)

Título: Probabilistic limit shapes and harmonic envelopes

Abstract: Limit shapes are deterministic surfaces in ℝ3 which arise in the macroscopic limit of discrete random surfaces associated to various probability models such as domino tilings, random Young tableaux or vertex models. The limit surface is a minimiser of a variational problem with a surface tension which encodes the local entropy of the model. I'll present a geometric "harmonic envelope method" which applies to a variety of models. I'll illustrate the method in detail by considering random Young tableaux on an arbitrary diagram and related problems. The talk is based in part on joint work with Rick Kenyon.