Remarks on the Interpolation Method-Reference-Cited by-同舟云学术

Remarks on the Interpolation Method

Published:2020-08-24 Issue:4 Volume:181 Page:1218-1238
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Boccagna Roberto,Gabrielli Davide^ORCID

Abstract

AbstractWe discuss a generalization of the classic condition of validity of the interpolation method for the density of quenched free energy of mean field spin glasses. The condition is written just in terms of the

$$L^2$$

L 2 metric structure of the Gaussian random variables. As an example of application we deduce the existence of the thermodynamic limit for a GREM model with infinite branches for which the classic conditions of validity fail. We underline the dependence of the density of quenched free energy just on the metric structure and discuss the models from a metric viewpoint.

Funder

Università degli Studi dell’Aquila

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s10955-020-02624-x.pdf

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