High-dimensional Gaussian fields with isotropic increments seen through spin glasses

A. Klimovsky

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
92 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)1-14
JournalElectronic Communications in Probability
Volume17
Issue number17
DOIs
Publication statusPublished - 2012

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