Metastates in disordered mean-field models: Random field and Hopfield models

DOI10.1007/BF02732434zbMath0924.60092MaRDI QIDQ1285071

Christof Külske

Publication date: 7 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

mean field modelsHopfield modelmetastatesdisordered systemrandom Gibbs measuresrandom field model

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random measures (60G57)

Related Items

On the averaged dynamics of the random field Curie-Weiss model., Extreme value behavior in the Hopfield model, Moderate deviations for random field Curie-Weiss models, Infinite volume Gibbs states and metastates of the random field mean-field spherical model, Extremal decomposition for random Gibbs measures: from general metastates to metastates on extremal random Gibbs measures, Gibbs-Non Gibbs Transitions in Different Geometries: The Widom-Rowlinson Model Under Stochastic Spin-Flip Dynamics, The weak limit of Ising models on locally tree-like graphs, Metastates in mean-field models with random external fields generated by Markov chains, The roles of random boundary conditions in spin systems, Path-space moderate deviation principles for the random field Curie-Weiss model, Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry, Short-range spin glasses and random overlap structures, Moderate deviations for the overlap parameter in the Hopfield model, On the Ising model with random boundary condition, Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry, Typical configurations for one-dimensional random field Kac model, Small random perturbation of a classical mean field model

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