Geodesic
Metrical theory for $α$-Rosen fractions
Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1259-1283.

Voir la notice de l'article provenant de la source EMS Press

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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     title = {Metrical theory for $\ensuremath{\alpha}${-Rosen} fractions},
     journal = {Journal of the European Mathematical Society},
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/181/

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