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The circle and the solenoid

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Publication:862117
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DOI10.3934/dcds.2006.16.463zbMath1121.37032OpenAlexW2034154786MaRDI QIDQ862117

Alberto A. Pinto

Publication date: 5 February 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.16.463


zbMATH Keywords

expandingscaling functionsuniformly hyperbolic systemsmaps of the circlesolenoid functions


Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)


Related Items (9)

Anosov diffeomorphisms and \({\gamma}\)-tilings ⋮ Quasisymmetric distortion and rigidity of expanding endomorphisms of $S^1$ ⋮ Golden tilings ⋮ Arc exchange systems and renormalization ⋮ Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics ⋮ Cantor exchange systems and renormalization ⋮ Train tracks withC1+self-renormalizable structures ⋮ Uniformly hyperbolic diffeomorphisms in every surfaces ⋮ Renormalization of Circle Diffeomorphism Sequences and Markov Sequences






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