Coding chaotic billiards. II: Compact billiards defined on the pseudosphere

DOI10.1016/0167-2789(95)00064-BzbMath0889.58033MaRDI QIDQ5917639

Marie-Joya Giannoni, Denis Ullmo

Publication date: 19 June 1995

Published in: Physica D (Search for Journal in Brave)

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Low-dimensional dynamical systems (37E99)

Cites Work

• Unnamed Item
• Unnamed Item
• Coding chaotic billiards. I: Non-compact billiards on a negative curvature manifold
• The quantization of a classically ergodic system
• Markov partitions for dispersed billiards
• Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian
• Chaos in classical and quantum mechanics
• Distribution of eigenfrequencies for the wave equation in a finite domain. III: Eigenfrequency density oscillations
• Geodesic flows are Bernoullian
• Potentials on the two-torus for which the Hamiltonian flow is ergodic
• Semiclassical computations of energy levels
• Symbolic dynamics. II. Bifurcations in billiards and smooth potentials
• On the symbolic dynamics of the Henon map
• Recycling of strange sets: I. Cycle expansions
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature
• Applications of periodic‐orbit theory
• Trace formulas for arithmetical systems

This page was built for publication: Coding chaotic billiards. II: Compact billiards defined on the pseudosphere