On the exponential decay of the n-point correlation functions and the analyticity of the pressure

DOI10.1063/1.2819601zbMath1153.81396arXiv0704.1332OpenAlexW2009500034MaRDI QIDQ3544557

Assane Lo

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1332

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Clustering bounds on \(n\)-point correlations for unbounded spin systems ⋮ Witten Laplacian method for generalized models of Kac type ⋮ A direct method for the analyticity of the pressure for certain classical unbounded models

Cites Work

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• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• On the correlation for Kac-like models in the convex case
• Completely analytical interactions: Constructive description
• Some remarks on the location of zeroes of the partition function for lattice systems
• Decrease properties of truncated correlation functions and analyticity properties for classical lattices and continuous systems
• Theorems on the Partition Functions of the Heisenberg Ferromagnets
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation

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