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Besicovitch cylindrical transformation with a Hölder function

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Publication:325624
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DOI10.1134/S0001434616030068zbMath1370.37085MaRDI QIDQ325624

Mohammad Hasan, M. Dambrine

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Hausdorff dimensionHölder propertycylindrical transformationBesicovitch property


Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)


Related Items (2)

On the growth of Birkhoff sums over a rotation of the circle ⋮ New examples of Besicovitch transitive cylindrical cascades




Cites Work

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  • A Besicovitch cylindrical transformation with Hölder function
  • Minimal sets of certain annular homeomorphisms
  • On the Hausdorff dimension of the set of closed orbits for a cylindrical transformation
  • A mixing special flow over a circle rotation with almost Lipschitz function
  • Cylinder cocycle extensions of minimal rotations on monothetic groups




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