Toward a Classification of Stochastically Stable Quenched Measures
Mathematical Physics
2007-05-23 v1 Disordered Systems and Neural Networks
math.MP
Abstract
In this short note we study the fourth order consequences of the stochastic stability property for mean field spin glass models introduced in previous paper by Aizenman and Contucci. We show that due to a remarkable cancellation mechanism it reduces to the well known second order version as predicted by Parisi's replica-equivalent ansatz.
Keywords
Cite
@article{arxiv.math-ph/0205041,
title = {Toward a Classification of Stochastically Stable Quenched Measures},
author = {Pierluigi Contucci},
journal= {arXiv preprint arXiv:math-ph/0205041},
year = {2007}
}