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Diophantine properties of measures and homogeneous dynamics

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Publication:930804
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DOI10.4310/PAMQ.2008.v4.n1.a3zbMath1151.11038MaRDI QIDQ930804

Dmitry Kleinbock

Publication date: 1 July 2008

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)


zbMATH Keywords

dynamical systemsDiophantine approximationextremality


Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Homogeneous flows (37A17)


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Explicit bounds for rational points near planar curves and metric Diophantine approximation ⋮ Mahler's question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory ⋮ Diophantine approximations on fractals ⋮ Diophantine approximation on matrices and Lie groups ⋮ METRIC DIOPHANTINE APPROXIMATION FOR SYSTEMS OF LINEAR FORMS VIA DYNAMICS ⋮ Non-planarity and metric Diophantine approximation for systems of linear forms



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