Symbolic dynamics of piecewise contractions

DOI10.1088/1361-6544/ab4361zbMath1425.37029arXiv1803.01226OpenAlexW3102626029MaRDI QIDQ5243472

Benito Pires

Publication date: 18 November 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01226

zbMATH Keywords

topological dynamicssymbolic dynamicspiecewise contractionspiecewise smooth interval maps

Mathematics Subject Classification ID

Related Items (3)

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Cites Work

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• Invariant measures for piecewise continuous maps
• Combinatorial methods for interval exchange transformations
• Transcendence of numbers with a low complexity expansion
• On the transcendence of real numbers with a regular expansion.
• Rotation number of contracted rotations
• Asymptotically periodic piecewise contractions of the interval
• Topological dynamics of piecewise -affine maps
• Dynamics of piecewise contractions of the interval
• Almost all interval exchange transformations with flips are nonergodic
• Languages of k -interval exchange transformations
• Describing the Set of Words Generated by Interval Exchange Transformation
• Rank two interval exchange transformations
• A Series and Its Associated Continued Fraction
• Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey
• Non-primitive words of the formpq^m
• Linear mod one transformations and the distribution of fractional parts {ξ(p/q)ⁿ}
• Orbit structure of interval exchange transformations with flip
• Complexity of injective piecewise contracting interval maps
• On the dynamics of quasi-contractions
• Interval exchange transformations
• Substitutions and interval exchange transformations of rotation class

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