2009, English, Article, Other article edition: Correlations for pairs of periodic trajectories for open billiards Stoyanov, Luchezar; Petkov, V.

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Physical Description
  • article
Published
  • 2009
Language
  • English

Edition details

Title
  • Correlations for pairs of periodic trajectories for open billiards
Author
  • Stoyanov, Luchezar
  • Petkov, V.
Published
  • 2009
Physical Description
  • article
Part Of
  • Stoyanov , L &​ Petkov , V 2009 , ' Correlations for pairs of periodic trajectories for open billiards ' Nonlinearity , vol 22 , no. 11 , pp. 2657-2679 . DOI: 10.1088/​0951-7715/​22/​11/​005
  • urn:ISSN:0951-7715
Subjects
Summary
  • In this paper we prove two asymptotic estimates for pairs of closed trajectories for open billiards similar to those established by Pollicott and Sharp (2006 Invent. Math. 163 10–24) for closed geodesics on negatively curved compact surfaces. The first of these estimates holds for general open billiards in any dimension. The more intricate second estimate is established for open billiards satisfying the so-called Dolgopyat type estimates. This class of billiards includes all open billiards in the plane and open billiards in RN (N ≥ 3) satisfying some additional conditions.
Terms of Use
  • Restricted access
Language
  • English
Related Resource
Identifier
  • oai:pure.atira.dk:publications/​b76da7e0-82ee-4b1d-a19e-0af163121e55

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