Map lattices coupled by collisions

DOI10.1007/s00220-009-0835-zzbMath1188.37044arXiv0811.3543OpenAlexW3100069995MaRDI QIDQ1048105

Gerhard Keller, Carlangelo Liverani

Publication date: 11 January 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3543

zbMATH Keywords

weak interactionsstrong effects

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Dynamical systems with hyperbolic behavior (37D99)

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Rare events, exponential hitting times and extremal indices via spectral perturbation†, Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit, Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations, Mean-field coupled systems and self-consistent transfer operators: a review, Globally coupled Anosov diffeomorphisms: statistical properties, Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems, On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas, Exponential mixing for skew products with discontinuities, Existence of physical measures in some excitation–inhibition networks*

Cites Work

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• Ergodic systems of \(n\) balls in a billiard table
• LIMIT THEOREMS FOR COUPLED INTERVAL MAPS
• Stability of statistical properties in two-dimensional piecewise hyperbolic maps