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Cluster expansion methods in rigorous statistical mechanics
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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 2 Pith papers
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A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures
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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New results on the domain of analyticity of the free energy for the Ising model
The authors derive explicit new analyticity bounds for the Ising free energy in three regimes, but the high-temperature proof rests on a false bipartiteness claim.
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