Bounded and divergent trajectories and expanding curves on homogeneous spaces
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Publication:5125070
DOI10.1090/tran/8161zbMath1450.37003arXiv1806.06832OpenAlexW3014312235MaRDI QIDQ5125070
Publication date: 1 October 2020
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06832
Homogeneous spaces (22F30) Orbit growth in dynamical systems (37C35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Metric theory (11J83) Schmidt Subspace Theorem and applications (11J87) Homogeneous flows (37A17)
Related Items (3)
On the image in the torus of sparse points on dilating analytic curves ⋮ On \(\epsilon\)-escaping trajectories in homogeneous spaces ⋮ Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension
Cites Work
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- Non-planarity and metric Diophantine approximation for systems of linear forms
- Hausdorff dimension of singular vectors
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Bounded orbits of flows on homogeneous spaces
- Hausdorff dimension of the set of singular pairs
- On a problem in simultaneous Diophantine approximation: Schmidt's conjecture
- Random walks on finite volume homogeneous spaces
- Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces
- Equidistribution of expanding translates of curves and Dirichlet's theorem on Diophantine approximation
- Modified Schmidt games and Diophantine approximation with weights
- Rational approximation on spheres
- Badly approximable points on manifolds
- Limiting distributions of curves under geodesic flow on hyperbolic manifolds
- Asymptotic evolution of smooth curves under geodesic flow on hyperbolic manifolds
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Hausdorff dimension of the set of nonergodic foliations of a quadratic differential
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Closed orbits for actions of maximal tori on homogeneous spaces
- Badly approximable points on planar curves and winning
- Singular systems of linear forms and non-escape of mass in the space of lattices
- Diophantine approximation on matrices and Lie groups
- On fractal measures and Diophantine approximation
- Exponents of Diophantine approximation and Sturmian continued fractions.
- Divergent trajectories on noncompact parameter spaces
- Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension
- Winning games for bounded geodesics in moduli spaces of quadratic differentials
- Modified Schmidt games and a conjecture of Margulis
- Badly approximable systems of linear forms
- Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
- Asymptotic formulas on flat surfaces
- Badly approximable vectors, curves and number fields
- Amount of failure of upper-semicontinuity of entropy in non-compact rank-one situations, and Hausdorff dimension
- Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space
- Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms
- Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
- Bounded geodesics and Hausdorff dimension
- Effective Equidistribution of Translates of Large Submanifolds in Semisimple Homogeneous Spaces
- METRIC DIOPHANTINE APPROXIMATION FOR SYSTEMS OF LINEAR FORMS VIA DYNAMICS
- On Badly Approximable Numbers and Certain Games
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