An application of the sub-additive ergodic theorem to the metric theory of continued fractions

DOI10.1006/JNTH.1997.2121zbMath0881.11064OpenAlexW2023343686MaRDI QIDQ1366675

Dominique Barbolosi

Publication date: 22 September 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2121

zbMATH Keywords

subadditive ergodic theoremmetric theory of continued fractions

Mathematics Subject Classification ID

Ergodic theory (37A99) Metric theory of continued fractions (11K50)

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
• Subadditive ergodic theory
• Generalization of a theorem of Kusmin
• Metrical properties of some random variables connected with the continued fraction expansion

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