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* Corresponding author 1 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : These notes have been written to complete a mini-course -Introduction to generalized Gibbs measures- given at the universities UFMG Universidade Federal de Minas Gerais, Belo Horizonte, Brasil and UFRGS Universidade Federal do Rio Grande do Sul, Porto Alegre, Brasil during the first semester 2007. The main goal of the lectures was to describe Gibbs and generalized Gibbs measures on lattices at a rigorous mathematical level, as equilibirum states of systems of a huge number of particles in interaction. In particular, our main message is that although the historical approach based on potentials has been rather successful from a physical point of view, one has to insist on almost sure continuity properties of conditional probabilities to get a proper mathematical framework.

Keywords : Gibbs and generalized Gibbs measures





Author: Arnaud Le Ny -

Source: https://hal.archives-ouvertes.fr/



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