On the entropy of Japanese continued fractions

zbMath1179.11022arXivmath/0601576MaRDI QIDQ928457

Laura Luzzi, Stefano Marmi

Publication date: 18 June 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601576

zbMATH Keywords

entropynatural extensionJapanese continued fraction

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) 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)

Related Items (12)

An entropy problem of the \(\alpha \)-continued fraction maps ⋮ Invariant measures for continued fraction algorithms with finitely many digits ⋮ Generalized Brjuno functions associated to \(\alpha \)-continued fractions ⋮ Natural extensions for Nakada's \(\alpha\)-expansions: descending from \(1\) to \(g^2\) ⋮ Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients ⋮ On the Legendre constant of \(\alpha \)-continued fractions ⋮ 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 ⋮ On the equivalence relations of \(\alpha\)-continued fractions ⋮ Natural extensions for \(\alpha \)-Rosen continued fractions ⋮ Tanaka–Ito α-continued fractions and matching

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