The entropy of α-continued fractions: numerical results

DOI10.1088/0951-7715/23/10/005zbMath1233.11083arXiv0912.2329OpenAlexW3102408054MaRDI QIDQ3162692

Giulio Tiozzo, Carlo Carminati, Stefano Marmi, Alessandro Profeti

Publication date: 21 October 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2329

zbMATH Keywords

metric entropy\(\alpha\)-continued fractions

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 (6)

A canonical thickening of ℚ and the entropy ofα-continued fraction transformations ⋮ Invariant measures for continued fraction algorithms with finitely many digits ⋮ Matching for a family of infinite measure continued fraction transformations ⋮ Invariant measures, matching and the frequency of 0 for signed binary expansions ⋮ Continued fractions with $SL(2, Z)$-branches: combinatorics and entropy ⋮ On the equivalence relations of \(\alpha\)-continued fractions

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