A unified stability property in spin glasses
Probability
2015-05-28 v3 Mathematical Physics
math.MP
Abstract
Gibbs' measures in the Sherrington-Kirkpatrick type models satisfy two asymptotic stability properties, the Aizenman-Contucci stochastic stability and the Ghirlanda-Guerra identities, which play a fundamental role in our current understanding of these models. In this paper we show that one can combine these two properties very naturally into one unified stability property.
Keywords
Cite
@article{arxiv.1106.3954,
title = {A unified stability property in spin glasses},
author = {Dmitry Panchenko},
journal= {arXiv preprint arXiv:1106.3954},
year = {2015}
}