Opérateurs de Ruelle-Mayer généralisés et analyse en moyenne des algorithmes d'Euclide et de Gauss

DOI10.4064/aa-81-2-101-144zbMath0880.11059OpenAlexW838321193MaRDI QIDQ4345850

Brigitte Vallée

Publication date: 29 July 1997

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207058

zbMATH Keywords

convergenceGaussian lawcontinued fraction algorithmGauss algorithmasymptotic distribution of the number of iterationsRuelle-Mayer operators

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) General theory of linear operators (47A99) Metric theory of continued fractions (11K50)

Related Items (8)

On a question of Mendès France on normal numbers ⋮ Continued fraction algorithms, functional operators, and structure constants ⋮ Dynamical analysis of a class of Euclidean algorithms. ⋮ Gaussian Distribution of Trie Depth for Strongly Tame Sources ⋮ Fine costs for Euclid's algorithm on polynomials and Farey maps ⋮ Large deviations for denominators of continued fractions ⋮ Gaussian laws for the main parameters of the Euclid algorithms ⋮ Dynamics of continued fractions with periodic constraints

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