Mathematical Notes

, Volume 55, Issue 5, pp 455–460 | Cite as

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

  • Ya. B. Vorobets


Periodic Point 
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  1. 1.
    M. R. Rychlik, “Periodic points of the billiard ball map in a convex domain,” J. Diff. Geom.,30, No. 1, 191–205 (1989).Google Scholar
  2. 2.
    L. Stojanov, “Note on the periodic points of the billiard,” J. Diff. Geom.,34, No. 3, 835–837 (1991).Google Scholar
  3. 3.
    G. E. Shilov and B. L. Gurevich, Integrals, Differentials, and Measure [in Russian], Nauka, Moscow (1967).Google Scholar
  4. 4.
    I. P. Kornfel'd, Ya. G. Sinai, and S. V. Fomin, Ergodic Theory [in Russian], Nauka, Moscow (1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Ya. B. Vorobets
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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