Ferromagnetic integrals, correlations and maximum principles

DOI10.5802/aif.1411zbMath0831.35031OpenAlexW2057457756MaRDI QIDQ1337039

Johannes Sjöstrand

Publication date: 8 November 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_2_601_0

zbMATH Keywords

maximum principleexpectation valuesexponential convergence of the first eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

REMARKS ON DECAY OF CORRELATIONS AND WITTEN LAPLACIANS II — ANALYSIS OF THE DEPENDENCE ON THE INTERACTION ⋮ Supersymmetric measures and maximum principles in the complex domain. Exponential decay of green's functions ⋮ Unnamed Item ⋮ On the spectrum of semi-classical Witten-Laplacians and Schrödinger operators in large dimension ⋮ Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit ⋮ On Laplace integrals and transfer operators in large dimension: Examples in the nonconvex case ⋮ Universal estimate of the gap for the Kac operator in the convex case

Cites Work

• 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
• The \(P(\phi)_2\) Euclidean quantum field theory as classical statistical mechanics. II.
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