Self-averaging in a class of generalized Hopfield models

DOI10.1088/0305-4470/27/21/021zbMath0843.60093OpenAlexW2051132348MaRDI QIDQ4874886

Anton Bovier

Publication date: 13 August 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0fefea884aed01a1aef80bfb979c88e5ca88ec61

zbMATH Keywords

almost sure convergenceHopfield modelconvergence of the mean of the free energymulti-spin interactions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (4)

Nonlinear PDEs approach to statistical mechanics of dense associative memories ⋮ Spontaneous Replica Symmetry Breaking and Interpolation Methods for Complex Statistical Mechanics Systems ⋮ About the ergodic regime in the analogical Hopfield neural networks: Moments of the partition function ⋮ On the free energy of the Hopfield model

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