Probabilistic models of multidimensional piecewise expanding mappings

DOI10.1007/BF02186286zbMath0833.58027OpenAlexW1999682356MaRDI QIDQ1897063

Jörn Loviscach

Publication date: 25 March 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02186286

zbMATH Keywords

Markov processdeterministic chaoscentral limit theoremlocal limit theoremmultidimensional piecewise expanding maps

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Limit theorems in probability theory (60F99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (1)

A generalized notion of variation applied to Markov chains and Anosov maps

Cites Work

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• Ergodic and topological properties of coulombic periodic potentials
• Markov processes and learning models
• Small perturbations of chaotic dynamical systems
• Generalized bounded variation and applications to piecewise monotonic transformations
• Probabilistic Properties of Deterministic Systems

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