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January 2004 Euclidean Gibbs measures on loop lattices: Existence and a priori estimates
Sergio Albeverio, Yuri Kondratiev, Tatiana Pasurek, Michael Röckner
Ann. Probab. 32(1A): 153-190 (January 2004). DOI: 10.1214/aop/1078415832

Abstract

We present a new method to prove existence and uniform a priori estimates for Euclidean Gibbs measures corresponding to quantum anharmonic crystals. It is based first on the alternative characterization of Gibbs measures in terms of their logarithmic derivatives through integration by parts formulas, and second on the choice of appropriate Lyapunov functionals.

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Sergio Albeverio. Yuri Kondratiev. Tatiana Pasurek. Michael Röckner. "Euclidean Gibbs measures on loop lattices: Existence and a priori estimates." Ann. Probab. 32 (1A) 153 - 190, January 2004. https://doi.org/10.1214/aop/1078415832

Information

Published: January 2004
First available in Project Euclid: 4 March 2004

zbMATH: 1121.82005
MathSciNet: MR2040779
Digital Object Identifier: 10.1214/aop/1078415832

Subjects:
Primary: 60H30
Secondary: 60G60, 82B10

Rights: Copyright © 2004 Institute of Mathematical Statistics

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Vol.32 • No. 1A • January 2004
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