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2012 High-dimensional Gaussian fields with isotropic increments seen through spin glasses
Anton Klimovsky
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Electron. Commun. Probab. 17: 1-14 (2012). DOI: 10.1214/ECP.v17-1994

Abstract

We study the free energy of a particle in (arbitrary) high-dimensional Gaussian random potentials with isotropic increments. We prove a computable saddle point variational representation in terms of a Parisi-type functional for the free energy in the infinite-dimensional limit. The proofs are based on the techniques developed in the course of the rigorous analysis of the Sherrington-Kirkpatrick model with vector spins.

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Anton Klimovsky. "High-dimensional Gaussian fields with isotropic increments seen through spin glasses." Electron. Commun. Probab. 17 1 - 14, 2012. https://doi.org/10.1214/ECP.v17-1994

Information

Accepted: 29 April 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 06049248
MathSciNet: MR2915663
Digital Object Identifier: 10.1214/ECP.v17-1994

Subjects:
Primary: 60K35
Secondary: 60F10, 60G15, 60G60, 82B44, 82D30

JOURNAL ARTICLE
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