Fractions continues multidimensionnelles et lois stables

DOI10.24033/bsmf.2277zbMath0857.11035OpenAlexW2480810258MaRDI QIDQ4883949

Anne Broise

Publication date: 20 August 1996

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1996__124_1_97_0

zbMATH Keywords

Jacobi-Perron algorithmstable distributioninvariant probability measuremultidimensional continued fraction expansionsimultaneous rational approximations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continued fractions and generalizations (11J70) Ergodic theory (37A99)

Related Items (8)

Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions ⋮ Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Numeration and discrete dynamical systems ⋮ Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map) ⋮ Existence, mixing and approximation of invariant densities for expanding maps on \(\mathbb{R}^r\) ⋮ Statistical properties for nonhyperbolic maps with finite range structure ⋮ Continued fractions on the Veech surfaces

Cites Work

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• Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
• Approach to equilibrium for locally expanding maps in \({\mathbb{R}}^ k\)
• Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)
• The metrical theory of Jacobi-Perron algorithm
• The Jacobi-Perron algorithm its theory and application
• Theory of operators, Part I. single operators
• Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions
• Limit Theorems for a Special Kind of Random Walk

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