Extreme value behavior in the Hopfield model

DOI10.1214/aoap/998926988zbMath1024.82015OpenAlexW2085580590MaRDI QIDQ1872473

Anton Bovier, David M. Mason

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aoap/998926988

zbMATH Keywords

order statisticsextreme valuesGibbs measuremetastatesspin configurationchaotic size dependence

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) 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) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (4)

Fluctuations of the free energy in the REM and the \(p\)-spin SK models ⋮ Local energy statistics in disordered systems: a proof of the local REM conjecture ⋮ Moderate deviations for the overlap parameter in the Hopfield model ⋮ The accuracy of strong Gaussian approximation for sums of independent random vectors

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