Two asymptotic distributions related to Rényi-type continued fraction expansions

DOI10.1007/s10998-021-00444-4OpenAlexW3016156907MaRDI QIDQ2678439

Gabriela Ileana Sebe, Dan Lascu

Publication date: 23 January 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05147

zbMATH Keywords

Perron-Frobenius operatornatural extensionGauss-Kuzmin-problemRényi continued fractions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Cites Work

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• Backward continued fractions, Hecke groups and invariant measures for transformations of the interval
• On convergence rate in the Gauss-Kuzmin problem for grotesque continued fractions
• A two-dimensional Gauss-Kuzmin theorem for singular continued fractions

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