Badly approximable numbers and vectors in Cantor-like sets

DOI10.1090/S0002-9939-2011-11105-5zbMath1316.11059MaRDI QIDQ2845532

Hemangi Shah, Shrikrishna G. Dani

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

geodesic flowsbadly approximable numbersCantor-like setsorbits of flowsSchmidt's games

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Diophantine inequalities (11J25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

Solving Two-Point Boundary Value Problems for a Wave Equation via the Principle of Stationary Action and Optimal Control ⋮ On non-dense orbits of certain non-algebraic dynamical systems ⋮ The topological entropy of non-dense orbits and generalized Schmidt games ⋮ Schmidt games and non-dense forward orbits of certain partially hyperbolic systems ⋮ Certain singular distributions and fractals ⋮ Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems

Cites Work

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• Bounded orbits of flows on homogeneous spaces
• Winning sets, quasiconformal maps and Diophantine approximation
• Badly approximable vectors on fractals
• Schmidt's game on fractals
• Schmidt's game, badly approximable matrices and fractals
• Diophantine approximation
• Schmidt’s game, fractals, and orbits of toral endomorphisms
• On orbits of endomorphisms of tori and the Schmidt game
• Bounded geodesics in rank-1 locally symmetric spaces
• On Badly Approximable Numbers and Certain Games

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