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Sbornik: Mathematics, 2003, Volume 194, Issue 2, Pages 295–309
DOI: https://doi.org/10.1070/SM2003v194n02ABEH000717 (Mi sm717) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Inhomogeneous Diophantine approximation and angular recurrence for polygonal billiards

S. Troubetzkoy, J. Schmeling

Institut de Mathématiques de Luminy
English version PDF (213 kB) Citations (25)
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DOI: https://doi.org/10.1070/SM2003v194n02ABEH000717
Abstract: For a fixed rotation number we compute the Hausdorff dimension of the set of well approximable numbers. We use this result and an inhomogeneous version of Jarnik's theorem to demonstrate strong recurrence properties of the billiard flow in certain polygons.
Received: 17.05.2001 and 21.06.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 2, Pages 129–144
DOI: https://doi.org/10.4213/sm717
Bibliographic databases:
UDC: 517.987
MSC: 37D50, 11J83
Language: English
Original paper language: Russian
Citation: S. Troubetzkoy, J. Schmeling, “Inhomogeneous Diophantine approximation and angular recurrence for polygonal billiards”, Mat. Sb., 194:2 (2003), 129–144; Sb. Math., 194:2 (2003), 295–309
Citation in format AMSBIB
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\paper Inhomogeneous Diophantine approximation and angular recurrence for
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\pages 129--144
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  • https://www.mathnet.ru/eng/sm717
  • https://doi.org/10.1070/SM2003v194n02ABEH000717
  • https://www.mathnet.ru/eng/sm/v194/i2/p129
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:211
    English version PDF:46
    References:83
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