The entropy of Nakada's α-continued fractions: analytical results

DOI10.2422/2036-2145.201111_001zbMath1358.11092arXiv0912.2379OpenAlexW2520339880MaRDI QIDQ5246461

Giulio Tiozzo

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0912.2379

zbMATH Keywords

entropygeneralized continued fractionBirkhoff averages

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Metric theory of continued fractions (11K50) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (6)

An entropy problem of the \(\alpha \)-continued fraction maps ⋮ Matching for a family of infinite measure continued fraction transformations ⋮ \(\alpha\)-expansions with odd partial quotients ⋮ Continued fractions with $SL(2, Z)$-branches: combinatorics and entropy ⋮ Matching in a family of piecewise affine maps ⋮ Tanaka–Ito α-continued fractions and matching

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