Metrical properties of some random variables connected with the continued fraction expansion

DOI10.1016/0019-3577(95)93194-FzbMath0837.11043MaRDI QIDQ1904406

Dominique Barbolosi, C. Faivre

Publication date: 20 May 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

probability measurescontinued fraction expansionGauss transformationconvergents

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (2)

An application of the sub-additive ergodic theorem to the metric theory of continued fractions ⋮ On some random variables and mappings related to the natural extension of the Gauss shift.

Cites Work

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• The distribution of continued fraction approximations
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances

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