Winning sets, quasiconformal maps and Diophantine approximation
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Publication:707556
DOI10.1007/S00039-010-0078-3zbMath1242.11054OpenAlexW2149057882MaRDI QIDQ707556
Publication date: 8 October 2010
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00039-010-0078-3
Related Items (37)
Badly approximable \(S\)-numbers and absolute Schmidt games ⋮ The Banach-Mazur-Schmidt and Banach-Mazur-McMullen games ⋮ The set of badly approximable vectors is strongly C1 incompressible ⋮ DETERMINACY AND INDETERMINACY OF GAMES PLAYED ON COMPLETE METRIC SPACES ⋮ Limit points badly approximable by horoballs ⋮ On non-dense orbits of certain non-algebraic dynamical systems ⋮ Cantor-winning sets and their applications ⋮ Jarník-type inequalities ⋮ Metrical theorems on systems of affine forms ⋮ Intrinsic Diophantine approximation on manifolds: General theory ⋮ Rational approximation on spheres ⋮ SCHMIDT'S GAME ON HAUSDORFF METRIC AND FUNCTION SPACES: GENERIC DIMENSION OF SETS AND IMAGES ⋮ Simultaneous dense and nondense orbits for commuting maps ⋮ Sets of inhomogeneous linear forms can be not isotropically winning ⋮ Intrinsic Diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group ⋮ A dichotomy phenomenon for bad minus normed Dirichlet ⋮ Decaying and non-decaying badly approximable numbers ⋮ Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows ⋮ A note on badly approximable systems of linear forms over a field of formal series ⋮ Gaps problems and frequencies of patches in cut and project sets ⋮ A variational principle in the parametric geometry of numbers ⋮ Badly approximable systems of affine forms and incompressibility on fractals ⋮ Schmidt’s game and nonuniformly expanding interval maps ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ Cylinder absolute games on solenoids ⋮ Hereditarily non uniformly perfect non-autonomous Julia sets ⋮ Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points ⋮ \(\mathbf{Bad(w)}\) is hyperplane absolute winning ⋮ Simultaneously non-dense orbits under different expanding maps ⋮ Hereditarily non uniformly perfect sets ⋮ Dichotomy for arithmetic progressions in subsets of reals ⋮ 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 ⋮ Badly approximable numbers and vectors in Cantor-like sets ⋮ Non-dense orbits on homogeneous spaces and applications to geometry and number theory ⋮ 2-dimensional badly approximable vectors and Schmidt's game ⋮ DETERMINACY OF SCHMIDT’S GAME AND OTHER INTERSECTION GAMES
Cites Work
- Unnamed Item
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- Bounded orbits of flows on homogeneous spaces
- Schmidt's game on fractals
- Modified Schmidt games and Diophantine approximation with weights
- Thermodynamics, dimension and the Weil-Petersson metric
- Topological games: on the 50th anniversary of the Banach-Mazur game
- An answer to a question of Schmidt on (alpha,beta) games
- Quasiconformal maps in metric spaces with controlled geometry
- Schmidt's game, fractals, and numbers normal to no base
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Schmidt games and Markov partitions
- On orbits of endomorphisms of tori and the Schmidt game
- Quasisymmetric embeddings of metric spaces
- Porous Sets and Quasisymmetric Maps
- On Badly Approximable Numbers and Certain Games
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