Remarks on the interpolation method
Mathematical Physics
2020-12-02 v1 Statistical Mechanics
math.MP
Abstract
We discuss a generalization of the conditions 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 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.
Keywords
Cite
@article{arxiv.2004.00714,
title = {Remarks on the interpolation method},
author = {Roberto Boccagna and Davide Gabrielli},
journal= {arXiv preprint arXiv:2004.00714},
year = {2020}
}
Comments
20 pages, 4 figures