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Stochastic Stability and the Spin Glass Phase. The State of the Art for Mean Field and Finite Dimensional Models

2012/12/01 by Contucci, Pierluigi
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1212.0118

Abstract

Some invariances under perturbations of the spin glass phase are introduced, their proofs outlined and their consequences illustrated as factorisation rules for the overlap distribution. A comparison between the state of the art for mean field and finite dimensional models is shortly discussed.

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