A two-dimensional Gauss--Kuzmin theorem for $N$-continued fraction expansions

DOI10.5486/PMD.2020.8536zbMath1463.11121arXiv1707.08393MaRDI QIDQ4969011

Dan Lascu, Gabriela Ileana Sebe

Publication date: 2 October 2020

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08393

zbMATH Keywords

\(N\)-continued fractionsGauss-Kuzmin-problemnatural extension, infinite-order-chai

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)

Related Items (4)

METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS ⋮ A generalization of the Gauss-Kuzmin-Wirsing constant ⋮ Two asymptotic distributions related to Rényi-type continued fraction expansions ⋮ A two-dimensional Gauss-Kuzmin theorem associated with the random Fibonacci-type sequences

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