Result: On a Gauss-Kuzmin problem for the \(\alpha\)-continued fractions

Title:
On a Gauss-Kuzmin problem for the \(\alpha\)-continued fractions
Authors:
Popescu, Cristina
Publisher Information:
Publishing House of the Romanian Academy (Editura Academiei Române), Bucharest
Subject Terms:
Metric theory of continued fractions, Gauss-Kuzmin problem, Relations of ergodic theory with number theory and harmonic analysis, continued fraction
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/1774258
Accession Number:
edsair.c2b0b933574d..23e39337b54a7fd86c3cb84671ead463
Database:
OpenAIRE

Further Information

Summary: Using the Ionescu Tulcea-Marinescu ergodic theorem, we solve a Gauss-Kuzmin problem for the so called \(\alpha\)-continued fraction transformations introduced by \textit{H.~Nakada} in [Tokyo J. Math. 4, 399-426 (1981; Zbl 0479.10029)].