Schmidt’s game and nonuniformly expanding interval maps

DOI10.1088/1361-6544/ab972azbMath1461.37040arXiv1911.12004OpenAlexW2990754323MaRDI QIDQ5136504

Jason Duvall

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12004

zbMATH Keywords

Hausdorff dimensionnonuniform hyperbolicitySchmidt's gamenondense orbitManneville-Pomeau maps

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Non-dense orbits on homogeneous spaces and applications to geometry and number theory

Cites Work

• Unnamed Item
• On Schmidt's game and the set of points with non-dense orbits under a class of expanding maps
• Winning sets, quasiconformal maps and Diophantine approximation
• Estimates of the invariant densities of endomorphisms with indifferent fixed points
• Recurrence times and rates of mixing
• Schmidt’s game, fractals, and orbits of toral endomorphisms
• Dimension of countable intersections of some sets arising in expansions in non-integer bases
• Schmidt games and Markov partitions
• On orbits of endomorphisms of tori and the Schmidt game
• Multifractal formalism for some parabolic maps
• Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists
• The Lyapunov spectrum of some parabolic systems
• On Badly Approximable Numbers and Certain Games

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