Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives
Disordered Systems and Neural Networks
2015-09-29 v2 Mathematical Physics
math.MP
Abstract
In this paper we show that d-dimensional Gaussian spin glass models are strongly stochastically stable, fulfill the Ghirlanda-Guerra identities in distribution and the ultrametricity property.
Cite
@article{arxiv.1212.5281,
title = {Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives},
author = {Pierluigi Contucci and Emanuele Mingione and Shannon Starr},
journal= {arXiv preprint arXiv:1212.5281},
year = {2015}
}
Comments
To appear in Journal of Statistical Physics