Badly approximable \(S\)-numbers and absolute Schmidt games

DOI10.1016/j.jnt.2015.12.014zbMath1415.11103arXiv1508.01770OpenAlexW2963465461WikidataQ114157442 ScholiaQ114157442MaRDI QIDQ266581

Tue Ly, Dmitry Kleinbock

Publication date: 13 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01770

zbMATH Keywords

Diophantine approximationalgebraic numbersbadly approximable numbersSchmidt games

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Metric theory (11J83)

Related Items (9)

Diophantine approximation in number fields and geometry of products of symmetric spaces ⋮ Intrinsic Diophantine approximation on manifolds: General theory ⋮ Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows ⋮ Singular vectors on manifolds over totally real number fields ⋮ Cylinder absolute games on solenoids ⋮ Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation ⋮ Bounded orbits of diagonalizable flows on finite volume quotients of products of \(\mathrm{SL}_2(\mathbb{R})\) ⋮ Winning property of badly approximable points on curves ⋮ Singular vectors and geometry at infinity of products of hyperbolic spaces

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