On the stochastic calculus method for spins systems

DOI10.1214/009117904000000919zbMath1074.82014arXivmath/0503652OpenAlexW3100550241MaRDI QIDQ1775440

Samy Tindel

Publication date: 3 May 2005

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503652

zbMATH Keywords

stochastic differential equationscavity methodSK and perceptron models

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (7)

Fluctuation results for multi-species Sherrington-Kirkpatrick model in the replica symmetric regime ⋮ A central limit theorem for a localized version of the SK model ⋮ Mean field spin Glass models under weak external field ⋮ Diffusions of multiplicative cascades ⋮ Spin glasses and Stein's method ⋮ Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model ⋮ Fluctuations for the bipartite Sherrington-Kirkpatrick model

Cites Work

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• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• The Sherrington-Kirkpatrick model: A challenge for mathematicians
• Quenched large deviation principle for the overlap of a \(p\)-spins system
• Intersecting random half-spaces: Toward the Gardner-Derrida formula.
• Fluctuations of the free energy in the REM and the \(p\)-spin SK models
• Central limit theorem for fluctuations in the high temperature region of the Sherrington–Kirkpatrick spin glass model
• Large deviation principles and generalized Sherrington-Kirkpatrick models.

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