On a problem in simultaneous Diophantine approximation: Schmidt's conjecture

DOI10.4007/annals.2011.174.3.9zbMath1268.11105arXiv1001.2694OpenAlexW2099465061WikidataQ122921337 ScholiaQ122921337MaRDI QIDQ661926

Dzmitry Badziahin, Sanju L. Velani, Andrew D. Pollington

Publication date: 11 February 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2694

zbMATH Keywords

Hausdorff dimensionSchmidt's conjecturesimultaneously badly approximable numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

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Cites Work

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• Modified Schmidt games and Diophantine approximation with weights
• Diophantine approximation and badly approximable sets
• An introduction to the geometry of numbers.
• On Simultaneously Badly Approximable Numbers
• The work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture
• A note on Diophantine approximation (II)
• On a problem in simultaneous Diophantine approximation: Littlewood's conjecture

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