A Gauss-Kusmin theorem for optimal continued fractions

DOI10.1090/S0002-9947-99-02177-7zbMath0921.11040MaRDI QIDQ4235622

Karma Dajani, Cornelis Kraaikamp

Publication date: 22 March 1999

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

zbMATH Keywords

nearest integer continued fraction\(S\)-expansionsoptimal continued fractionsingular continued fractionGauss-Kusmin theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of continued fractions (11K50)

Related Items (5)

Two asymptotic distributions related to Rényi-type continued fraction expansions ⋮ A two-dimensional Gauss-Kuzmin theorem associated with the random Fibonacci-type sequences ⋮ Convergence rate for a continued fraction expansion related to Fibonacci type sequences ⋮ A two-dimensional Gauss-Kuzmin theorem for singular continued fractions ⋮ On convergence rate in the Gauss-Kuzmin problem for \(\theta\)-expansions

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• A new class of continued fraction expansions

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