Some remarks on a probability limit theorem for continued fractions

DOI10.1090/S0002-9947-96-01571-1zbMath0863.11048OpenAlexW1526992417MaRDI QIDQ4889966

Jorge D. Samur

Publication date: 11 August 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01571-1

zbMATH Keywords

continued fraction expansionalmost sure invariance principlepartial sums of weakly dependent random variablesapproximation by principal convergentsdiophantine approximations of random real numbers

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Metric theory of continued fractions (11K50) Diophantine approximation in probabilistic number theory (11K60)

Related Items (2)

On the extremal theory of continued fractions ⋮ Quantitative metric theory of continued fractions

Cites Work

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• The distribution of continued fraction approximations
• Zwei Grenzwertsätze für Kettenbrüche
• A Functional Central Limit Theorem in Diophantine Approximation
• On Some Limit Theorems for Continued Fractions
• Almost sure invariance principles for partial sums of weakly dependent random variables
• On the Behavior of the Variances of Sums of Random Variables Forming a Stationary Process

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