Bounded orbits of flows on homogeneous spaces
From MaRDI portal
Publication:581569
DOI10.1007/BF02621936zbMath0627.22013OpenAlexW2040355424MaRDI QIDQ581569
Publication date: 1986
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/140072
latticeHausdorff dimensionhomogeneous spaceflowsemisimple Lie groupbounded trajectoriesone-parameter subgroup
Harmonic analysis on homogeneous spaces (43A85) Ergodic theory on groups (22D40) Semisimple Lie groups and their representations (22E46) Dynamics induced by flows and semiflows (37C10) Discrete subgroups of Lie groups (22E40)
Related Items (36)
On an Oppenheim-type conjecture for systems of quadratic forms ⋮ The set of badly approximable vectors is strongly C1 incompressible ⋮ Invariant distributions for homogeneous flows and affine transformations ⋮ Bounded orbits of Anosov flows ⋮ Extremality and dynamically defined measures. I: Diophantine properties of quasi-decaying measures ⋮ Limit points badly approximable by horoballs ⋮ On non-dense orbits of certain non-algebraic dynamical systems ⋮ Frequencies of digits, divergence points, and Schmidt games ⋮ A Hausdorff measure version of the Jarník–Schmidt theorem in Diophantine approximation ⋮ Hausdorff dimension and Kleinian groups ⋮ Rational approximation on spheres ⋮ Bounded geodesics in rank-1 locally symmetric spaces ⋮ Bounded geodesics and Hausdorff dimension ⋮ Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows ⋮ Hausdorff dimension of the set of singular pairs ⋮ Bounded and divergent trajectories and expanding curves on homogeneous spaces ⋮ Badly approximable systems of affine forms and incompressibility on fractals ⋮ Flows on homogeneous spaces and Diophantine properties of matrices. ⋮ Bounded orbits of certain diagonalizable flows on $SL_{n}(R)/SL_{n}(Z)$ ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ The topological entropy of non-dense orbits and generalized Schmidt games ⋮ On orbits of endomorphisms of tori and the Schmidt game ⋮ A shrinking target problem with target at infinity in rank one homogeneous spaces ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Winning sets, quasiconformal maps and Diophantine approximation ⋮ On certain orbits of geodesic flow and \((a,b)\)-continued fractions ⋮ Cylinder absolute games on solenoids ⋮ On the Lagrange and Markov dynamical spectra for Anosov flows in dimension 3 ⋮ Schmidt games and non-dense forward orbits of certain partially hyperbolic systems ⋮ Badly approximable points on manifolds and unipotent orbits in homogeneous spaces ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Bounded orbits of diagonalizable flows on finite volume quotients of products of \(\mathrm{SL}_2(\mathbb{R})\) ⋮ Badly approximable numbers and vectors in Cantor-like sets ⋮ Non-dense orbits on homogeneous spaces and applications to geometry and number theory ⋮ Non-dense orbits of systems with the approximate product property ⋮ Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems
This page was built for publication: Bounded orbits of flows on homogeneous spaces
