Hausdorff dimension and uniform exponents in dimension two
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Publication:5234615
DOI10.1017/S0305004118000312zbMath1450.11081arXiv1610.06374WikidataQ129801793 ScholiaQ129801793MaRDI QIDQ5234615
Yitwah Cheung, Nicolas Chevallier, Yann Bugeaud
Publication date: 30 September 2019
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.06374
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) 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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- Hausdorff dimension of singular vectors
- Hausdorff dimension of the set of singular pairs
- Equidistribution of expanding translates of curves and Dirichlet's theorem on Diophantine approximation
- Dirichlet's theorem on Diophantine approximation and homogeneous flows
- Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
- Singular systems of linear forms and non-escape of mass in the space of lattices
- Exponents of Diophantine approximation and Sturmian continued fractions.
- Best simultaneous Diophantine approximations and multidimensional continued fraction expansions
- A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
- Badly approximable systems of linear forms
- Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space
- A lower bound for the Hausdorff dimension of sets of singular n-tuples
- The Hausdorff dimension of certain sets of singular n-tuples
- Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms
- Singular n-tuples and Hausdorff dimension. II
- Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.
- Singular n-tuples and Hausdorff dimension
- Hausdorff dimension and conformal dynamics, III: Computation of dimension
- Approximation to real numbers by cubic algebraic integers I
- Dirichlet's theorem on diophantine approximation. II
- Contribution to the linear and homogeneous Diophantine approximations