Fluctuations of the free energy in the diluted SK-model

DOI10.1016/j.spa.2006.02.002zbMath1109.82014OpenAlexW2017604225MaRDI QIDQ2507595

Holger Kösters

Publication date: 5 October 2006

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2006.02.002

zbMATH Keywords

random graphscentral limit theoremSherrington-Kirkpatrick modelViana-Bray modeldiluted spin glasses

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) 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

Mean field spin Glass models under weak external field ⋮ The Hopfield model on a sparse Erdös-Renyi graph ⋮ Free energy of a diluted spin Glass model with quadratic Hamiltonian

Cites Work

• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• The high temperature region of the Viana-Bray diluted spin glass model
• Bounds for diluted mean-fields spin glass models
• Replica bounds for optimization problems and diluted spin systems
• Fluctuations in a \(p\)-spin interaction model
• Replica bounds for diluted non-Poissonian spin systems
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