Discrete geometry and numeration
Valérie Berthé (2009)
Actes des rencontres du CIRM
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Valérie Berthé (2009)
Actes des rencontres du CIRM
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Berthé, Valérie, Siegel, Anne (2005)
Integers
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Komori, Yohei, Sugawa, Toshiyuki, Wada, Masaaki, Yamashita, Yasushi (2006)
Experimental Mathematics
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Pierre Arnoux, Christian Mauduit, Iekata Shiokawa, Jun-Ichi Tamura (1994)
Bulletin de la Société Mathématique de France
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Schweiger, Fritz (2010)
Integers
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Sébastien Ferenczi, Charles Holton, Luca Q. Zamboni (2001)
Annales de l’institut Fourier
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In this paper we describe a -dimensional generalization of the Euclidean algorithm which stems from the dynamics of -interval exchange transformations. We investigate various diophantine properties of the algorithm including the quality of simultaneous approximations. We show it verifies the following Lagrange type theorem: the algorithm is eventually periodic if and only if the parameters lie in the same quadratic extension of
Eugène Dubois, Ahmed Farhane, Roger Paysant-Le Roux (2004)
Acta Arithmetica
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Hardcastle, D.M., Khanin, K. (2002)
Experimental Mathematics
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Hardcastle, D.M. (2002)
Experimental Mathematics
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