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Preprints, Working Papers, ... Year : 2024

Compositional statistical mechanics, entropy and variational free energy (Extended abstract)

Grégoire Sergeant-Perthuis
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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.
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hal-04527775 , version 1 (30-03-2024)

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Attribution - NonCommercial - NoDerivatives

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  • HAL Id : hal-04527775 , version 1

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Grégoire Sergeant-Perthuis. Compositional statistical mechanics, entropy and variational free energy (Extended abstract). 2024. ⟨hal-04527775⟩
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