Caractérisation des ensembles normaux substitutifs. (Characterization of normal substitutional sets)

DOI10.1007/BF01394146zbMath0665.10035OpenAlexW2075485663MaRDI QIDQ1115908

Christian Mauduit

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143647

zbMATH Keywords

uniform distributionsubstitutionnormal set

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06)

Related Items (9)

Dynamical directions in numeration ⋮ Arithmetics properties of substitutions and infinite automata ⋮ On the Rajchman property for self-similar measures on \(\mathbb{R}^d\) ⋮ Integer-digit functions: an example of math-art integration ⋮ Unnamed Item ⋮ On substitution tilings and Delone sets without finite local complexity ⋮ Delone Sets and Dynamical Systems ⋮ Pure point diffractive substitution Delone sets have the Meyer property ⋮ Substitution dynamical systems : algebraic characterization of eigenvalues

Cites Work

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• Automates finis et ensembles normaux. (Finite automata and normal sets)
• Substitution dynamical systems - spectral analysis
• Sur l'ensemble normal des substitutions de longueur quelconque. (On the normal set of substitutions of arbitrary length)
• Morphismes unispectraux. (Unispectral morphisms)
• Graphes connexes représentation des entiers et équirepartition
• Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
• Nombres algébriques et substitutions
• Mixing properties of substitutions
• Caractérisation des ensembles normaux
• Minimal flows arising from substitutions of non-constant length

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