Coding chaotic billiards. I: Non-compact billiards on a negative curvature manifold
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Publication:916183
DOI10.1016/0167-2789(90)90005-AzbMath0703.58039MaRDI QIDQ916183
Marie-Joya Giannoni, Denis Ullmo
Publication date: 1990
Published in: Physica D (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Information theory (general) (94A15)
Related Items (6)
Escape orbits for non-compact flat billiards ⋮ Quantum chaos on constant negative curvature surfaces ⋮ Coding chaotic billiards. I: Non-compact billiards on a negative curvature manifold ⋮ Coding chaotic billiards. II: Compact billiards defined on the pseudosphere ⋮ Finiteness in polygonal billiards on hyperbolic plane ⋮ Hyperbolic cone metrics and billiards
Cites Work
- Coding chaotic billiards. I: Non-compact billiards on a negative curvature manifold
- A linear code for the sawtooth and cat maps
- Non-euclidean geometry, continued fractions, and ergodic theory
- Geometrical Markov coding of geodesics on surfaces of constant negative curvature
- Some geometrical models of chaotic dynamics
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