Large deviation principles and generalized Sherrington-Kirkpatrick models.

DOI10.5802/afst.960zbMath1165.82311OpenAlexW2322332650MaRDI QIDQ5930237

Michel Talagrand

Publication date: 2000

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2000_6_9_2_203_0

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) Large deviations (60F10)

Related Items (1)

On the stochastic calculus method for spins systems

Cites Work

• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• Huge random structures and mean field models for spin glasses
• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• The Sherrington-Kirkpatrick model: A challenge for mathematicians
• Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model.
• Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model.

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