Equidistribution of expanding translates of curves and Diophantine approximation on matrices
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Publication:2187250
DOI10.1007/s00222-019-00945-7zbMath1456.22003arXiv1809.08515OpenAlexW2996951002WikidataQ126462519 ScholiaQ126462519MaRDI QIDQ2187250
Publication date: 2 June 2020
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.08515
homogeneous spacesgeometric invariant theoryDiophantine approximationequidistributionDirichlet's theoremRatner's theorem
Related Items (5)
Locally unipotent invariant measures and limit distribution of a sequence of polynomial trajectories on homogeneous spaces ⋮ Non-divergence in the space of lattices ⋮ 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 ⋮ On the image in the torus of sparse points on dilating analytic curves
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