Badly approximable sets for expanding Markov maps

DOI10.1007/S40840-024-01818-WMaRDI QIDQ6672034

Na Yuan, Shuai Ling Wang

Publication date: 27 January 2025

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionexpanding Markov mapbadly approximable sets

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Cites Work

• Title not available (Why is that?)
• On Schmidt's game and the set of points with non-dense orbits under a class of expanding maps
• On the distal and asymptotic sets for \(\beta\)-transformations
• Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
• Chaotic and topological properties of \(\beta \)-transformations
• Techniques in fractal geometry
• Dimension of countable intersections of some sets arising in expansions in non-integer bases
• Schmidt games and Markov partitions
• Dimensions and Measures in Infinite Iterated Function Systems
• METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS
• Winning property of distal set for β-transformations
• BADLY APPROXIMABLE AND NONRECURRENT SETS FOR EXPANDING MARKOV MAPS
• THE DISTAL AND ASYMPTOTIC SETS FOR CONTINUED FRACTIONS
• The Hausdorff dimension of the set of points with nondense orbit under a hyperbolic dynamical system
• The shrinking target problem in the dynamical system of continued fractions
• Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps

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