A two-dimensional Gauss-Kuzmin theorem for singular continued fractions

DOI10.1016/S0019-3577(00)80028-2zbMath1006.11044MaRDI QIDQ5951550

Gabriela Ileana Sebe

Publication date: 12 March 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Gauss-Kuzmin theoremsingular continued fraction expansions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (5)

A near-optimal solution to the Gauss-Kuzmin-Lévy problem for \(\theta\)-expansions ⋮ Two asymptotic distributions related to Rényi-type continued fraction expansions ⋮ A two-dimensional Gauss-Kuzmin theorem associated with the random Fibonacci-type sequences ⋮ A Gauss-Kuzmin theorem and related questions for \(\theta \)-expansions ⋮ On convergence rate in the Gauss-Kuzmin problem for \(\theta\)-expansions

Cites Work

• Metrical theory for a class of continued fraction transformations and their natural extensions
• A Gauss-Kusmin theorem for optimal continued fractions
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