Besicovitch cascades and bounded partial quotients

DOI10.2478/amns.2020.2.00050OpenAlexW3101350157MaRDI QIDQ2690772

Andrey Kochergin

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00050

zbMATH Keywords

Hausdorff dimensionBesicovitchdiscrete orbitHölder functionpartial quotientscylinder transformation

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45)

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Cites Work

• A Besicovitch cylindrical transformation with Hölder function
• Polymorphisms, joinings, and the tensor simplicity of dynamical systems
• On the Hausdorff dimension of the set of closed orbits for a cylindrical transformation
• ON AN ADDITIVE FUNCTIONAL HOMOLOGY EQUATION CONNECTED WITH AN ERGODIC ROTATION OF THE CIRCLE
• Recurrence of Co-Cycles and Random Walks
• New examples of Besicovitch transitive cylindrical cascades
• A mixing special flow over a circle rotation with almost Lipschitz function
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