Equidistribution of expanding curves in homogeneous spaces and Diophantine approximation on square matrices
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Publication:2827377
DOI10.1090/proc/13170zbMath1366.37005arXiv1311.1106OpenAlexW2963857226MaRDI QIDQ2827377
Publication date: 19 October 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1106
Homogeneous spaces (22F30) Discrete subgroups of Lie groups (22E40) Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous flows (37A17)
Related Items (3)
Equidistribution of expanding translates of curves and Diophantine approximation on matrices ⋮ Equidistribution of curves in homogeneous spaces and Dirichlet's approximation theorem for matrices ⋮ Equidistribution of expanding translates of curves in homogeneous spaces with the action of \((\mathrm{SO}(n, 1))^k\)
Cites Work
- Raghunathan's topological conjecture and distributions of unipotent flows
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- Dirichlet's theorem on Diophantine approximation and homogeneous flows
- Limiting distributions of curves under geodesic flow on hyperbolic manifolds
- Asymptotic evolution of smooth curves under geodesic flow on hyperbolic manifolds
- On Raghunathan's measure conjecture
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- On metric Diophantine approximation in matrices and Lie groups
- APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
- On orbits of unipotent flows on homogeneous spaces
- Dirichlet's theorem on diophantine approximation
- METRIC DIOPHANTINE APPROXIMATION FOR SYSTEMS OF LINEAR FORMS VIA DYNAMICS
- Dirichlet's theorem on diophantine approximation. II
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