Introduction to (generalized) Gibbs measures

Details Introduction to (generalized) Gibbs measures Introduction to (generalized) Gibbs measures

2007-12-07

arxiv.org/abs/0712.1171v1

Mathematics

Probability

95 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Introduction to (generalized) Gibbs measures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Introduction to (generalized) Gibbs measures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Introduction to (generalized) Gibbs measures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120917