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Regular and Chaotic Dynamics, 2004, Volume 9, Issue 1, Pages 1–12
DOI: https://doi.org/10.1070/RD2004v009n01ABEH000259 (Mi rcd725) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Recurrence and periodic billiard orbits in polygons

S. Troubetzkoy

Centre de Physique Théorique, Institut de Mathématiques de Luminy et Federation de Recherches des Unites de Mathematiques de Marseille, CNRS Luminy, Case 907, F-13288 Marseille Cedex 9, France
Citations (11)
DOI: https://doi.org/10.1070/RD2004v009n01ABEH000259
Abstract: We show that almost all billiard trajectories return parallel to themselves for rank $1$, ergodic polygons. Applications are given to the existence of periodic trajectories.
Received: 08.01.2004
Bibliographic databases:
Document Type: Article
MSC: 37A40, 37C05, 37C27
Language: English
Citation: S. Troubetzkoy, “Recurrence and periodic billiard orbits in polygons”, Regul. Chaotic Dyn., 9:1 (2004), 1–12
Citation in format AMSBIB
\Bibitem{Tro04}
\by S. Troubetzkoy
\paper Recurrence and periodic billiard orbits in polygons
\jour Regul. Chaotic Dyn.
\yr 2004
\vol 9
\issue 1
\pages 1--12
\mathnet{http://mi.mathnet.ru/rcd725}
\crossref{https://doi.org/10.1070/RD2004v009n01ABEH000259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2058893}
\zmath{https://zbmath.org/?q=an:1049.37024}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RCD.....9....1T}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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