Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives

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.

To appear in Journal of Statistical Physics

References in corpus (3)

• The Sherrington-Kirkpatrick model: an overview
• Evidence of non-mean-field-like low-temperature behavior in the Edwards-Anderson spin-glass model
• Irreducible free energy expansion and overlaps locking in mean field spin glasses

Cited by in corpus (5)

• Short-range Ising spin glasses: the metastate interpretation of replica symmetry breaking
• Approximate Ultrametricity for Random Measures and Applications to Spin Glasses
• On the overlap distribution of branching random walks
• Stationarization and Multithermalization in spin glasses
• No replica symmetry breaking phase in random field Ginzburg-Landau model