On Laplace integrals and transfer operators in large dimension: Examples in the nonconvex case

DOI10.1007/BF00398354zbMath0861.47051OpenAlexW2080546647MaRDI QIDQ1816427

Bernard Helffer

Publication date: 26 November 1996

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

Full work available at URL: https://doi.org/10.1007/bf00398354

zbMATH Keywords

semi-classical analysissplittinglower boundpair correlationstransfer matrix approachKac operatorsemi-classical regimeLaplace integralsnonconvex modelWKB constructions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (3)

Correlation at low temperature. I: Exponential decay ⋮ Unnamed Item ⋮ Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit

Cites Work

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• On the correlation for Kac-like models in the convex case
• Universal estimate of the gap for the Kac operator in the convex case
• Around a stationary phase theorem in large dimension
• Ferromagnetic integrals, correlations and maximum principles
• Instantons, double wells and large deviations
• Multiple wells in the semi-classical limit I
• Study of Several Lattice Systems with Long-Range Forces

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