Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model.
type: Item
instance of: scholarly article
title: Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model.
zbMATH Open document ID: 1043.82036
author: Michel Talagrand
published in: The Annals of Probability
publication date: 2003-05-06T00:00:00Z
Mathematics Subject Classification ID: 82D30
Mathematics Subject Classification ID: 60G99
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 1905951
zbMATH Keywords: spin glass
zbMATH Keywords: Hopfield model
zbMATH Keywords: replica-symmetric solution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1019160495
OpenAlex ID: W1557639379
cites work: The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution
cites work: Q4379449
cites work: Q3842611
cites work: ABOUT THE OVERLAP DISTRIBUTION IN MEAN FIELD SPIN GLASS MODELS
cites work: The Sherrington-Kirkpatrick model: A challenge for mathematicians
cites work: Rigorous results for the Hopfield model with many patterns
cites work: Rigorous low-temperature results for the mean field \(p\)-spins interaction model
cites work: Intersecting random half-spaces: Toward the Gardner-Derrida formula.
cites work: Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model.
cites work: Huge random structures and mean field models for spin glasses
DOI: 10.1214/AOP/1019160495
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description: scientific article; zbMATH DE number 1905951