An entropy problem of the \(\alpha \)-continued fraction maps

zbMath1492.11116MaRDI QIDQ2134249

Hitoshi Nakada

Publication date: 6 May 2022

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-59/issue-2/An-entropy-problem-of-the-alpha-continued-fraction-maps/5412ojm.full

zbMATH Keywords

entropy\(\alpha\)-continued fractionsgeodesic expansionabsolutely continuous ergodic invariant measure

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Cites Work

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• The entropy of Nakada's α-continued fractions: analytical results
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• A new class of continued fraction expansions

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