Perturbed billiard systems II. Bernoulli properties

DOI10.1017/S0027763000019127zbMath0458.58014MaRDI QIDQ3908208

Izumi Kubo, Hiroshi Murata

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

weak Bernoulli partitionAmbrose-Kakutani flowsergodicity problem of perturbed billiard systemsperturbed billiard system on a two-dimensional measure spaceSinai billiard transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99)

Related Items

Sort billiard systems, Potentials on the two-torus for which the Hamiltonian flow is ergodic, Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows, Mixing and its rate in `soft' and `hard' billiards motivated by the Lorentz process, Correlation decay in certain soft billiards, Nonuniformly hyperbolic K-systems are Bernoulli, Two-particle billiard system with arbitrary mass ratio, Approximating multi-dimensional Hamiltonian flows by billiards, Ergodic properties of plane billiards with symmetric potentials, The \(K\)-property of \(N\) billiard balls. I, Billiards: A singular perturbation limit of smooth Hamiltonian flows, A stretched exponential bound on time correlations for billiard flows, Elliptic islands in generalized Sinai billiards

Cites Work

• Billiards and Bernoulli schemes
• On isomorphism of weak Bernoulli transformations
• Two Bernoulli shifts with infinite entropy are isomorphic
• Geodesic flows are Bernoullian
• Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field