Probability Seminar: Sebastián Barbieri Lemp

  • Date: 10/17/2018
  • Time: 16:00
Sebastián Barbieri Lemp, UBC

University of British Columbia


The Dobrushin-Lanford-Ruelle theorem on steroids


The Dobrushin-Lanford-Ruelle theorem gives sufficient conditions on sets of configurations on the d-dimensional lattice so that (1) every measure which maximizes the topological pressure is a Gibbs measure and (2) every Gibbs measure maximizes the topological pressure. In this talk we shall discuss a generalization of this theorem in several directions: the lattice is now an arbitrary countable amenable group, we permit the existence of a random environment and consider measures that project onto it, and we relax the required conditions of (1) to a much larger class of dynamical systems. We shall also present a few applications of this theorem. 


This is joint work with Ricardo Gómez-Aíza, Brian Marcus and Siamak Taati.

Other Information: 

Location: ESB 2012