Piecewise contractions and \(b\)-adic expansions

MaRDI QIDQ6600229

Benito Pires

Publication date: 9 September 2024

Published in: Comptes Rendus Mathématiques de l'Académie des Sciences (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicsinterval maps\(b\)-adic expansionpiecewise contraction

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45) Miscellaneous applications of number theory (11Zxx)

Cites Work

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• Rotation number of contracted rotations
• Generalized Hausdorff dimensions of sets of real numbers with zero entropy expansion
• Topological dynamics of piecewise -affine maps
• Languages of k -interval exchange transformations
• Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey
• Linear mod one transformations and the distribution of fractional parts {ξ(p/q)ⁿ}
• Complexity of injective piecewise contracting interval maps
• Symbolic dynamics of piecewise contractions
• A piecewise contractive dynamical system and Phragmèn's election method
• Interval exchange transformations

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