On the metric theory of the optimal continued fraction expansion

DOI10.1017/S0004972700030744zbMath0892.11026OpenAlexW2002397915MaRDI QIDQ4363842

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Publication date: 7 December 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700030744

zbMATH Keywords

metric theoryoptimal continued fraction expansionmetric behavior of sequences of polynomials

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50) Measure-theoretic ergodic theory (28D99)

Cites Work

• Metrical theory for optimal continued fractions
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• On the maximal ergodic theorem for certain subsets of the integers
• On the Metrical Theory of Continued Fractions
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