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Cluster expansion methods in rigorous statistical mechanics

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arxiv 2308.06380 v1 pith:5PHTPG2E submitted 2023-08-11 math-ph math.MP

Aldo Procacci This is my paper · ORCID
classification math-phmath.MP
keywords mechanicsrigorousstatisticalchaptersclassclusterconsideredcourse
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This draft is intended to be used as class notes for a grad course on rigorous statistical mechanics at math department of UFMG. It should be considered as a very prelimivary version and a work in progress. Several chapters lack references, exercises, and revision.

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Cited by 1 Pith paper

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  1. A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures

    math-ph 2026-02 conditional novelty 7.0 of 10

    For the 1D long-range ferromagnetic Ising model with J(r)=r^{-α} (1<α≤2), a convergent low-temperature cluster expansion is established and the two-point truncated correlation is shown to decay with the exact algebrai...

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