Equidistribution of curves in homogeneous spaces and Dirichlet's approximation theorem for matrices

DOI10.3934/dcds.2020227zbMath1446.11133arXiv1606.00152OpenAlexW3098442253MaRDI QIDQ2191147

Yanyan Li

Publication date: 24 June 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00152

zbMATH Keywords

homogeneous spacesDiophantine approximationequidistributionDirichlet's theoremRatner's theorem

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Homogeneous flows (37A17)

Related Items (4)

Equidistribution of expanding translates of curves and Diophantine approximation on matrices ⋮ Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem ⋮ A measure estimate in geometry of numbers and improvements to Dirichlet's theorem ⋮ Equidistribution of expanding translates of curves in homogeneous spaces with the action of \((\mathrm{SO}(n, 1))^k\)

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