Stochastic Stability: a Review and Some Perspectives

Abstract

A review of the stochastic stability property for the Gaussian spin glass models is presented and some perspectives discussed.

12 pages, typos corrected, references added. To appear in Journal of Statistical Physics, Special Issue for the 100th Statistical Mechanics Meeting

References in corpus (5)

• About the overlap distribution in mean field spin glass models
• Ultrametricity in the Edwards-Anderson Model
• Irreducible free energy expansion and overlaps locking in mean field spin glasses
• Correlation Inequalities for Spin Glasses
• Lack of monotonicity in spin glass correlation functions

Cited by in corpus (7)

• Mean field bipartite spin models treated with mechanical techniques
• Notes on the p-spin glass studied via Hamilton-Jacobi and Smooth-Cavity techniques
• Toward a quantitative approach to migrants integration
• Short-range spin glasses and Random Overlap Structures
• Analogue neural networks on correlated random graphs
• Notes on the polynomial identities in random overlap structures
• Spin glass polynomial identities from entropic constraints