Geodesic
Metrical theory for $α$-Rosen fractions
Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1259-1283 Cet article a éte moissonné depuis la source EMS Press

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The Rosen fractions form an infinite family which generalizes the nearest-integer continued fractions. In this paper we introduce a new class of continued fractions related to the Rosen fractions, the α-Rosen fractions. The metrical properties of these α-Rosen fractions are studied.
DOI : 10.4171/jems/181
Classification : 11-XX, 00-XX
Keywords: Rosen fractions, natural extension, Diophantine approximation 
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     author = {Karma Dajani and Cor Kraaikamp and Wolfgang Steiner},
     title = {Metrical theory for $\ensuremath{\alpha}${-Rosen} fractions},
     journal = {Journal of the European Mathematical Society},
     pages = {1259--1283},
     year = {2009},
     volume = {11},
     number = {6},
     doi = {10.4171/jems/181},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/181/}
}
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Karma Dajani; Cor Kraaikamp; Wolfgang Steiner. Metrical theory for $α$-Rosen fractions. Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1259-1283. doi: 10.4171/jems/181

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