Metastates in the Hopfield model in the replica symmetric regime
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Publication:1269502
DOI10.1023/A:1009764607660zbMath0910.60081arXivcond-mat/9706080MaRDI QIDQ1269502
Anton Bovier, Véronique Gayrard
Publication date: 6 April 1999
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9706080
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Neural nets applied to problems in time-dependent statistical mechanics (82C32)
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Extreme value behavior in the Hopfield model ⋮ Neural networks retrieving Boolean patterns in a sea of Gaussian ones ⋮ Metastates in mean-field models with random external fields generated by Markov chains ⋮ The roles of random boundary conditions in spin systems ⋮ Fluctuations of the free energy in the high temperature Hopfield model ⋮ Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry
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