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

DOI10.1007/s10955-013-0730-zzbMath1284.82101arXiv1212.5281OpenAlexW3104486028WikidataQ58295703 ScholiaQ58295703MaRDI QIDQ358677

Pierluigi Contucci, Shannon Starr, Emanuele Mingione

Publication date: 9 August 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5281

zbMATH Keywords

stochastic stabilityspin glassultrametricity

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (3)

Features of a spin glass in the random field Ising model ⋮ Approximate Ultrametricity for Random Measures and Applications to Spin Glasses ⋮ No replica symmetry breaking phase in the random field Ginzburg-Landau model

Cites Work

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• The Ghirlanda-Guerra identities for mixed \(p\)-spin model
• Irreducible free energy expansion and overlaps locking in mean field spin glasses
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
• Perspectives on Spin Glasses
• Mean Field Models for Spin Glasses

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