Compositional statistical mechanics, entropy and variational free energy (Extended abstract)
Abstract
This document is a summary of various results related to a compositional/categorical approach to rigorous Statistical Mechanics. In particular, we present a categorical formulation of specifications that we call
A-specifications and their Gibbs measures. We give a characterization of extreme Gibbs measures of
A-specifications and an entropy functional for A-specifications, along with an associated variational principle and message passing algorithm to 'solve' the variational principle.
Origin : Files produced by the author(s)
