Opinion formation in a heterogeneous population --- a new approach to the Hopfield model
type: Item
instance of: scholarly article
title: Opinion formation in a heterogeneous population --- a new approach to the Hopfield model
zbMATH Open document ID: 1193.91123
author: Holger Knöpfel
author: M. Löwe
published in: Mathematische Semesterberichte
publication date: 2009-10-19T00:00:00Z
Mathematics Subject Classification ID: 91D10
Mathematics Subject Classification ID: 91B10
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 91D30
zbMATH DE Number: 5617964
zbMATH Keywords: Modelle mit diskreten Wahlmöglichkeiten
zbMATH Keywords: soziale Interaktionen
zbMATH Keywords: Hopfield Modell
zbMATH Keywords: ungeordnete Systeme
zbMATH Keywords: neuronale Netzwerke
zbMATH Keywords: Grenzwertsätze
MaRDI profile type: Publication
full work available at URL: s00591-008-0049-z
OpenAlex ID: W2135642493
cites work: Statistical Mechanics of Disordered Systems
cites work: Sharp upper bounds on perfect retrieval in the Hopfield model
cites work: Q4379449
cites work: Q3842611
cites work: Rigorous results on the thermodynamics of the dilute Hopfield model
cites work: Gibbs states of the Hopfield model in the regime of perfect memory
cites work: Social distance, heterogeneity and social interactions
cites work: Social dynamics
cites work: Moderate deviations for the overlap parameter in the Hopfield model
cites work: Q3681702
cites work: Limit theorems for sums of dependent random variables occurring in statistical mechanics
cites work: A lower bound for the memory capacity in the Potts-Hopfield model
cites work: Random economies with many interacting agents
cites work: Equilibria in financial markets with heterogeneous agents: a probabilistic perspective
cites work: An almost sure central limit theorem for the overlap parameters in the Hopfield model
cites work: A central limit theorem for the overlap in the Hopfield model
cites work: Q4934904
cites work: The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature
cites work: Finite Markov Chains and Algorithmic Applications
cites work: Neural networks and physical systems with emergent collective computational abilities.
cites work: Equilibria in systems of social interactions
cites work: Q4379442
cites work: Lower bounds on the restitution error in the Hopfield model
cites work: On the storage capacity of Hopfield models with correlated patterns
cites work: The capacity of \(q\)-state Potts neural networks with parallel retrieval dynamics
cites work: Importance sampling for families of distributions
cites work: The capacity of the Hopfield associative memory
cites work: On the Hopfield model at the critical temperature
cites work: Q4413910
cites work: Social interactions, local spillovers and unemployment
DOI: 10.1007/S00591-008-0049-Z
description: scientific article; zbMATH DE number 5617964