A dichotomy phenomenon for bad minus normed Dirichlet

DOI10.1112/mtk.12221arXiv2210.09299OpenAlexW4385810218MaRDI QIDQ6080806

Dmitry Kleinbock, Anurag Rao

Publication date: 25 October 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.09299

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions and generalizations (11J70) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Homogeneous flows (37A17)

Cites Work

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• Winning sets, quasiconformal maps and Diophantine approximation
• Diophantine approximation
• Critical loci of convex domains in the plane
• The natural extension of the Gauss map and the Hermite best approximations
• Weighted uniform Diophantine approximation of systems of linear forms
• Values of binary quadratic forms at integer points and Schmidt games
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• Metric Diophantine Approximation: Aspects of Recent Work
• A Zero-One Law for Uniform Diophantine Approximation in Euclidean Norm
• The Hausdorff dimension of the set of points with nondense orbit under a hyperbolic dynamical system
• On Badly Approximable Numbers and Certain Games
• On a theorem of Davenport and Schmidt
• Non-dense orbits on homogeneous spaces and applications to geometry and number theory

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