Metric Properties of Denjoy's Canonical Continued Fraction Expansion

Marius IOSIFESCU; Cor KRAAIKAMP

doi:10.3836/tjm/1233844066

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Home > Journals > Tokyo J. Math. > Volume 31 > Issue 2 > Article

December 2008 Metric Properties of Denjoy's Canonical Continued Fraction Expansion

Marius IOSIFESCU, Cor KRAAIKAMP

Tokyo J. Math. 31(2): 495-510 (December 2008). DOI: 10.3836/tjm/1233844066

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Abstract

Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural extension of the underlying ergodic system is given. This natural extension is used to give simple proofs of results on mediant convergents obtained by W. Bosma in 1990.

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Marius IOSIFESCU. Cor KRAAIKAMP. "Metric Properties of Denjoy's Canonical Continued Fraction Expansion." Tokyo J. Math. 31 (2) 495 - 510, December 2008. https://doi.org/10.3836/tjm/1233844066

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Published: December 2008

First available in Project Euclid: 5 February 2009

zbMATH: 1205.37019

MathSciNet: MR2477886

Digital Object Identifier: 10.3836/tjm/1233844066

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Primary: 28D05

Secondary: 11K55

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Tokyo J. Math.

Vol.31 • No. 2 • December 2008

Publication Committee for the Tokyo Journal of Mathematics

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Marius IOSIFESCU, Cor KRAAIKAMP "Metric Properties of Denjoy's Canonical Continued Fraction Expansion," Tokyo Journal of Mathematics, Tokyo J. Math. 31(2), 495-510, (December 2008)

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