Statistical properties of dynamical systems with singularities.

DOI10.1007/BF02179869zbMath1081.37517WikidataQ124980949 ScholiaQ124980949MaRDI QIDQ1593304

Roberto Markarian

Publication date: 16 January 2001

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

zbMATH Keywords

dynamical systemsbilliardshyperbolicitydecay of correlations

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Cites Work

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• A ``transversal fundamental theorem for semi-dispersing billiards
• A theorem on ergodicity of two-dimensional hyperbolic billiards
• Billiards with Pesin region of measure one
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• Non-uniformly hyperbolic billiards
• Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus
• Decay of correlations
• Statistical properties of two-dimensional hyperbolic billiards
• New ergodic billiards: exact results
• Analytic models of pseudo-Anosov maps
• Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
• Markov partitions and shadowing for non-uniformly hyperbolic systems with singularities
• ON BILLIARDS CLOSE TO DISPERSING
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• SOME SMOOTH ERGODIC SYSTEMS
• Markov partitions for two-dimensional hyperbolic billiards

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