Nondense orbits of flows on homogeneous spaces

DOI10.1017/S0143385798100408zbMath0915.58078OpenAlexW2098371078MaRDI QIDQ4236241

Dmitry Kleinbock

Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798100408

zbMATH Keywords

Lie groupgeodesic flowsHausdorff dimensionhomogeneous spacediscrete subgroupconstant negative curvature

Mathematics Subject Classification ID

Topological dynamics (37B99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (11)

Modified Schmidt games and Diophantine approximation with weights ⋮ Simultaneous dense and nondense orbits for noncommuting toral endomorphisms ⋮ Simultaneous dense and nondense orbits for commuting maps ⋮ Dimension estimates for the set of points with non-dense orbit in homogeneous spaces ⋮ Badly approximable systems of affine forms ⋮ Chaotic and topological properties of continued fractions ⋮ Schmidt’s game, fractals, and orbits of toral endomorphisms ⋮ Chaotic and topological properties of \(\beta \)-transformations ⋮ Non-dense orbits on homogeneous spaces and applications to geometry and number theory ⋮ Non-dense orbits of systems with the approximate product property ⋮ On measures invariant under tori on quotients of semisimple groups

This page was built for publication: Nondense orbits of flows on homogeneous spaces