A Gauss-Kusmin theorem for optimal continued fractions
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Publication:4235622
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)
nearest integer continued fraction\(S\)-expansionsoptimal continued fractionsingular continued fractionGauss-Kusmin theorem
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
Cites Work
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- The distribution of continued fraction approximations
- Metrical theory for optimal continued fractions
- Statistic and ergodic properties of Minkowski's diagonal continued fraction
- Metrical theory for a class of continued fraction transformations and their natural extensions
- Ein Gauss-Kusmin-Levy-Satz für Kettenbrüche nach nächsten Ganzen
- Generalization of a theorem of Kusmin
- Über Einen Kusminschen Satz
- The metrical theory of continued fractions to the nearer integer
- Über die mittlere Schrittanzahl bei Divisionsalgorithmen
- On the theorem of Gauss-Kusmin-Lévy and a Frobenius-type theorem for function spaces
- Maximal $S$-expansions are Bernoulli shifts
- Metrische Theorie einer Klasse zahlentheoretischer Transformationen
- A new class of continued fraction expansions
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