The Banach-Mazur-Schmidt and Banach-Mazur-McMullen games

DOI10.1016/J.JNT.2016.03.021zbMath1350.91011arXiv1503.03428OpenAlexW2346260200MaRDI QIDQ290036

Lior Fishman, David Simmons, Vanessa Reams

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1503.03428

zbMATH Keywords

Banach-Mazur gameDiophantine approximationtopological gamesSchmidt game

Mathematics Subject Classification ID

2-person games (91A05) Games involving topology, set theory, or logic (91A44) Measures of irrationality and of transcendence (11J82) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

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• Winning sets, quasiconformal maps and Diophantine approximation
• Packing dimension and Ahlfors regularity of porous sets in metric spaces
• Topological games: on the 50th anniversary of the Banach-Mazur game
• Badly approximable systems of affine forms and incompressibility on fractals
• Diophantine approximation and badly approximable sets
• Doubling conformal densities
• Decaying and non-decaying badly approximable numbers
• On the multiples of a badly approximable vector
• On Badly Approximable Numbers and Certain Games

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