A central limit theorem for a localized version of the SK model

DOI10.1007/s11118-007-9041-9zbMath1118.60078arXivmath/0609754OpenAlexW1987345309MaRDI QIDQ884836

Sérgio de Carvalho Bezerra, Samy Tindel

Publication date: 7 June 2007

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609754

zbMATH Keywords

spin glassesstochastic calculuscavity methodlocalized mean-field modelSherrington-Kirkpatrick

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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)

Cites Work

• Unnamed Item
• The high temperature region of the Viana-Bray diluted spin glass model
• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• On the stochastic calculus method for spins systems
• The thermodynamic limit in mean field spin glass models
• Finite-range spin glasses in the Kac limit: free energy and local observables
• Central limit theorem for fluctuations in the high temperature region of the Sherrington–Kirkpatrick spin glass model

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