Measures with infinite Lyapunov exponents for the periodic Lorentz gas.

DOI10.1007/BF02183645zbMath1081.82503arXivmath/9411237MaRDI QIDQ1593389

Serge E. Troubetzkoy, Nikolai I. Chernov

Publication date: 16 January 2001

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

Full work available at URL: https://arxiv.org/abs/math/9411237

zbMATH Keywords

Lorentz gasbilliardLyapunov exponentmeasure of maximal entropy

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of statistical mechanics (37A60)

Related Items (2)

Lyapunov exponents and nonadapted measures for dispersing billiards ⋮ On the measure of maximal entropy for finite horizon Sinai Billiard maps

Cites Work

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• Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
• Billiards and Bernoulli schemes
• Statistical properties of two-dimensional hyperbolic billiards
• Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
• Markov partitions and shadowing for non-uniformly hyperbolic systems with singularities
• Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field
• ON A FUNDAMENTAL THEOREM IN THE THEORY OF DISPERSING BILLIARDS
• Intrinsic Markov Chains
• Markov partitions for two-dimensional hyperbolic billiards

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