Dispersing billiards without focal points on surfaces are ergodic

DOI10.1007/BF01218411zbMath0825.58024MaRDI QIDQ1812768

Nándor Simányi, András Krámli, Domokos Szász

Publication date: 25 June 1992

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

zbMATH Keywords

dispersing billiards

Mathematics Subject Classification ID

Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (8)

Convex billiards on convex spheres ⋮ Potentials on the two-torus for which the Hamiltonian flow is ergodic ⋮ Uniform hyperbolicity in nonflat billiards ⋮ Universality in level spacing fluctuations of a chaotic optical billiard ⋮ Travelling times in scattering by obstacles in curved space ⋮ Rate of convergence in the multidimensional central limit theorem for stationary processes. Application to the Knudsen gas and to the Sinai billiard ⋮ A ``transversal fundamental theorem for semi-dispersing billiards ⋮ Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant normal forms of formal series
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Billiards and Bernoulli schemes
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• ON A FUNDAMENTAL THEOREM IN THE THEORY OF DISPERSING BILLIARDS
• Dynamical systems with elastic reflections

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