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On the measure of the set of periodic points of the billiard

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Publication:1898522
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DOI10.1007/BF02110371zbMath0838.58032MaRDI QIDQ1898522

Ya. B. Vorobets

Publication date: 25 September 1995

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


zbMATH Keywords

Lebesgue measure zeroperiodic pointsPoincaré mapbilliard flow


Mathematics Subject Classification ID

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


Related Items

Generic absence of finite blocking for interior points of Birkhoff billiards ⋮ Introducing symplectic billiards ⋮ Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions ⋮ Wire billiards, the first steps ⋮ Scarcity of periodic orbits in outer billiards ⋮ On odd-periodic orbits in complex planar billiards ⋮ On quadrilateral orbits in planar billiards ⋮ On 4-reflective complex analytic planar billiards ⋮ Billiard dynamics: An updated survey with the emphasis on open problems ⋮ Inverse problems and rigidity questions in billiard dynamics



Cites Work

  • Periodic points of the billiard ball map in a convex domain
  • Note on the periodic points of the billiard
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