Self-consistent mappings and systems of interacting particles

DOI10.1134/S1064562411010133zbMath1234.82010OpenAlexW2083322284MaRDI QIDQ656235

M. L. Blank

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411010133

zbMATH Keywords

interacting particlesnonlinear Markov processself-consistent mappings

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (4)

Synchronization for networks of globally coupled maps in the thermodynamic limit ⋮ Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties ⋮ Globally coupled Anosov diffeomorphisms: statistical properties ⋮ A self-consistent dynamical system with multiple absolutely continuous invariant measures

Cites Work

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• Spontaneous resonances and the coherent states of the queuing networks
• Stochastically stable globally coupled maps with bistable thermodynamic limit
• Globally coupled chaos violates the law of large numbers but not the central-limit theorem
• Ruelle Perron Frobenius spectrum for Anosov maps
• Multicomponent dynamical systems: SRB measures and phase transitions

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