Dynamics of continued fractions with periodic constraints

DOI10.1006/jnth.1998.2276zbMath0918.11047OpenAlexW2018999022MaRDI QIDQ1273714

Brigitte Vallée

Publication date: 23 August 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2276

zbMATH Keywords

continued fraction expansionsHausdorff dimensionquadratic irrational numbersLévy constantaverage length of periodconstrained Ruelle-Mayer operatorsperiodic constraints

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Related Items

The relative growth rate of the largest digit in continued fraction expansions ⋮ Recurrence Function on Sturmian Words: A Probabilistic Study ⋮ Dynamical analysis of a class of Euclidean algorithms. ⋮ Small quotients in Euclidean algorithms ⋮ Digits and continuants in Euclidean algorithms. Ergodic versus Tauberian theorems ⋮ Euclidean algorithms are Gaussian ⋮ Gaussian behavior of quadratic irrationals

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