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Hausdorff dimension of weighted singular vectors in \(\mathbb R^2\)

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Publication:2302849
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DOI10.4171/JEMS/934zbMath1433.11084arXiv1605.01287OpenAlexW2991063734MaRDI QIDQ2302849

Ronggang Shi, Lingmin Liao, Omri N. Solan, Nattalie Tamam

Publication date: 26 February 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01287


zbMATH Keywords

Diophantine approximationHausdorff dimensionhomogeneous dynamicsweighted singular vector


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous flows (37A17)


Related Items (5)

Divergent trajectories on products of homogeneous spaces ⋮ Tori approximation of families of diagonally invariant measures ⋮ On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields ⋮ A variational principle in the parametric geometry of numbers ⋮ Hausdorff dimension of divergent trajectories on homogeneous spaces







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