Decaying and non-decaying badly approximable numbers

DOI10.4064/AA8281-10-2016zbMath1427.11066arXiv1508.03734OpenAlexW2962957481MaRDI QIDQ2957234

David Simmons, Lior Fishman, Ryan Broderick

Publication date: 25 January 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03734

zbMATH Keywords

Diophantine approximationHausdorff dimensionSchmidt's gamebadly approximable numbersLagrange constants

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Hausdorff and packing measures (28A78) Markov and Lagrange spectra and generalizations (11J06) Homogeneous approximation to one number (11J04)

Related Items (2)

The Banach-Mazur-Schmidt and Banach-Mazur-McMullen games ⋮ Cantor-winning sets and their applications

Cites Work

• Winning sets, quasiconformal maps and Diophantine approximation
• Cantor-winning sets and their applications
• Diophantine approximation and badly approximable sets
• The set of badly approximable vectors is strongly C¹ incompressible
• Graph directed Markov systems on Hilbert spaces
• Dimensions and Measures in Infinite Iterated Function Systems
• On the multiples of a badly approximable vector

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