A direct method for the analyticity of the pressure for certain classical unbounded models

DOI10.1155/2011/808276zbMath1220.82050arXivmath-ph/0611004OpenAlexW2051805228WikidataQ58654861 ScholiaQ58654861MaRDI QIDQ541165

Assane Lo

Publication date: 6 June 2011

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

Full work available at URL: https://arxiv.org/abs/math-ph/0611004

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)

Cites Work

• Witten Laplacian method for the decay of correlations
• Cluster expansion for abstract polymer models
• Supersymmetry and Morse theory
• 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
• On the spectral properties of Witten-Laplacians, their range projections and Brascamp-Lieb's inequality
• 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
• On the exponential decay of the n-point correlation functions and the analyticity of the pressure
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
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