Book Review: Chaotic billiards
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Publication:5494748
DOI10.1090/S0273-0979-09-01234-8zbMath1292.00017MaRDI QIDQ5494748
Publication date: 29 July 2014
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
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- Singular sets of planar hyperbolic billiards are regular
- Focusing components in typical chaotic billiards should be absolutely focusing
- A stretched exponential bound on time correlations for billiard flows
- Principles for the design of billiards with nonvanishing Lyapunov exponents
- Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
- Statistical properties of Lorentz gas with periodic configuration of scatterers
- Using integrability to produce chaos: Billiards with positive entropy
- Statistical properties of dynamical systems with some hyperbolicity
- How high-dimensional stadia look like
- Recurrence times and rates of mixing
- Billiard dynamics: a survey with the emphasis on open problems
- Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems
- Hard ball systems and the Lorentz gas
- Many-dimensional nowhere dispersing billiards with chaotic behavior
- Proof of the ergodic hypothesis for typical hard ball systems
- Advanced statistical properties of dispersing billiards
- Invariant families of cones and Lyapunov exponents
- Geodesic flow on the two-sphere, Part I: Positive measure entropy
- ON BILLIARDS CLOSE TO DISPERSING
- Nonuniformly hyperbolic K-systems are Bernoulli
- QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
- Mushrooms and other billiards with divided phase space
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