Cylinder absolute games on solenoids

DOI10.3934/DCDS.2020352zbMath1469.11236arXiv1805.09523OpenAlexW2804019513MaRDI QIDQ2030045

L. Singhal

Publication date: 4 June 2021

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

Full work available at URL: https://arxiv.org/abs/1805.09523

zbMATH Keywords

dynamical systemsHausdorff dimensionSchmidt's gameincompressible setsnon-dense orbits

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Dimension theory of smooth dynamical systems (37C45) Approximation in non-Archimedean valuations (11J61)

Cites Work

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• Badly approximable \(S\)-numbers and absolute Schmidt games
• Bounded orbits of flows on homogeneous spaces
• On a problem in simultaneous Diophantine approximation: Schmidt's conjecture
• Winning sets, quasiconformal maps and Diophantine approximation
• Modified Schmidt games and Diophantine approximation with weights
• Badly approximable systems of linear forms over a field of formal series
• Bounded orbits of diagonalizable flows on finite volume quotients of products of \(\mathrm{SL}_2(\mathbb{R})\)
• Schmidt’s game, fractals, and orbits of toral endomorphisms
• The set of badly approximable vectors is strongly C¹ incompressible
• Ergodic Semigroups of Epimorphisms
• Automorphisms of solenoids and p-adic entropy
• On orbits of endomorphisms of tori and the Schmidt game
• On Endomorphisms of a Solenoid
• Bounded geodesics and Hausdorff dimension
• Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces
• On Badly Approximable Numbers and Certain Games

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