Synchronization is full measure for all α-deformations of an infinite class of continued fractions

DOI10.2422/2036-2145.201701_014zbMath1475.37009arXiv1701.04498OpenAlexW3101800167MaRDI QIDQ5003151

Kariane Calta, Thomas A. Schmidt, Cornelis Kraaikamp

Publication date: 20 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04498

zbMATH Keywords

synchronizationFuchsian groupsinterval maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Dynamical systems involving maps of the interval (37E05) Metric theory of continued fractions (11K50) Relations between ergodic theory and number theory (37A44)

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Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients ⋮ Tanaka–Ito α-continued fractions and matching

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