A Gauss-Kuzmin-type problem for a family of continued fraction expansions

DOI10.1016/j.jnt.2012.12.007zbMath1319.11049arXiv1108.3441OpenAlexW2084852395MaRDI QIDQ2444486

Dan Lascu

Publication date: 9 April 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3441

zbMATH Keywords

Perron-Frobenius operatorinvariant measurerandom system with complete connections

Mathematics Subject Classification ID

Related Items (9)

Systems of functional equations and generalizations of certain functions ⋮ A near-optimal solution to the Gauss-Kuzmin-Lévy problem for \(\theta\)-expansions ⋮ A dependence with complete connections approach to generalized Rényi continued fractions ⋮ A two-dimensional Gauss-Kuzmin theorem associated with the random Fibonacci-type sequences ⋮ Dimension-theoretical results for a family of generalized continued fractions ⋮ A Gauss-Kuzmin theorem and related questions for \(\theta \)-expansions ⋮ Dependence with complete connections and the Gauss-Kuzmin theorem for \(N\)-continued fractions ⋮ On the metrical theory of a non-regular continued fraction expansion ⋮ On the regularity and approximation of invariant densities for random continued fractions

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