On the Metrical Theory of Continued Fractions

DOI10.2307/2160215zbMath0796.11031OpenAlexW4250664229MaRDI QIDQ4290838

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Publication date: 5 May 1994

Full work available at URL: https://doi.org/10.2307/2160215

zbMATH Keywords

continued fractionsLebesgue measurecontinued function expansionsequences of partial quotients

Mathematics Subject Classification ID

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

Related Items (7)

Quantitative metric theory of continued fractions ⋮ Haas-Molnar continued fractions and metric Diophantine approximation ⋮ Limit theorems for sub-sums of partial quotients of continued fractions ⋮ On the metric theory of the nearest integer continued fraction expansion ⋮ Weighted normal numbers ⋮ On the metric theory of the optimal continued fraction expansion ⋮ 𝑊-Markov measures, transfer operators, wavelets and multiresolutions

Cites Work

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• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II
• On the ergodic theorems (II) (Ergodic theory of continued fractions)

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