Witten Laplacian method for generalized models of Kac type

DOI10.1063/1.4808080zbMath1285.82016OpenAlexW2032537796MaRDI QIDQ5402321

Assane Lo

Publication date: 6 March 2014

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

Full work available at URL: https://doi.org/10.1063/1.4808080

zbMATH Keywords

critical pointKac modelWitten Laplacian method

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) Critical phenomena in equilibrium statistical mechanics (82B27)

Cites Work

• Witten Laplacian method for the decay of correlations
• 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
• Correlation at low temperature. I: Exponential decay
• On the spectral properties of Witten-Laplacians, their range projections and Brascamp-Lieb's inequality
• Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature
• Correlation at low temperature. II: Asymptotics
• On the exponential decay of the n-point correlation functions and the analyticity of the pressure
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