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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm717https://doi.org/10.1070/SM2003v194n02ABEH000717 https://www.mathnet.ru/eng/sm/v194/i2/p129
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Abstract page: | 568 | Russian version PDF: | 211 | English version PDF: | 46 | References: | 83 | First page: | 1 |
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