On the \(K\)-property of some planar hyperbolic billiards

DOI10.1007/BF02099399zbMath0760.58029OpenAlexW2083048522MaRDI QIDQ1193105

Domokos Szász

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02099399

zbMATH Keywords

Lyapunov exponentHamiltonian dynamical systemplanar billiardsWojtkowski principle

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items

Singular sets of planar hyperbolic billiards are regular, Bernoulli property for some hyperbolic billiards, Nonuniformly hyperbolic K-systems are Bernoulli, Regularity of Bunimovich's stadia, On the Bernoulli property of planar hyperbolic billiards, Ergodicity of classical billiard balls, Universality of level spacing distributions in classical chaos, Billiard dynamics: An updated survey with the emphasis on open problems, Hard chaos in magnetic billiards (on the hyperbolic plane), Semi-focusing billiards: ergodicity, The behavior of nearby trajectories in magnetic billiards, Ordered level spacing probability densities

Cites Work

• Unnamed Item
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• A ``transversal fundamental theorem for semi-dispersing billiards
• A theorem on ergodicity of two-dimensional hyperbolic billiards
• Principles for the design of billiards with nonvanishing Lyapunov exponents
• Billiards with Pesin region of measure one
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• On the ergodic properties of nowhere dispersing billiards
• Using integrability to produce chaos: Billiards with positive entropy
• The \(K\)-property of four billiard balls
• Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders
• The K-property of three billiard balls
• Examples of conservative diffeomorphisms of the two-dimensional torus with coexistence of elliptic and stochastic behaviour
• Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torus
• Conditions of stochasticity of two-dimensional billiards
• THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN