The Legendre transform of two replicas of the Sherrington-Kirkpatrick spin glass model

DOI10.1007/BF01192213zbMath0847.60080OpenAlexW1552622233MaRDI QIDQ1916690

Olivier Catoni

Publication date: 24 September 1996

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192213

zbMATH Keywords

thermodynamic limitvariational inequalitySherrington-Kirkpatrick modelmean entropy

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)

Related Items

A representation of Gibbs measure for the random energy model.

Cites Work

• Unnamed Item
• Unnamed Item
• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures
• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• Gibbs states of the Hopfield model with extensively many patterns.
• Concentration of measure and isoperimetric inequalities in product spaces
• Random-energy model: An exactly solvable model of disordered systems