A theorem on ergodicity of two-dimensional hyperbolic billiards

DOI10.1007/BF02096936zbMath0704.58029MaRDI QIDQ917112

Leonid A. Bunimovich

Publication date: 1990

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

zbMATH Keywords

Hausdorff dimensionfractal dimensionfractalscorrelation dimensioninformation dimensiondynamical systems with attractors

Mathematics Subject Classification ID

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Cites Work

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• Invariant normal forms of formal series
• A ``transversal fundamental theorem for semi-dispersing billiards
• Principles for the design of billiards with nonvanishing Lyapunov exponents
• Ergodicity of billiard flows and quadratic differentials
• Billiards with Pesin region of measure one
• On the ergodic properties of nowhere dispersing billiards
• Convergence and divergence of Fourier integrals in the Sobolev-spaces pair
• Billiards and Bernoulli schemes
• Billiards in polygons

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