Divergent trajectories and \({\mathbb Q}\)-rank

DOI10.1007/BF02771984zbMath1126.22007MaRDI QIDQ2382331

Barak Weiss

Publication date: 9 October 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

RankDivergent trajectories

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (7)

Existence of non-obvious divergent trajectories in homogeneous spaces ⋮ Divergent torus orbits in homogeneous spaces of \({\mathbb Q}\)-rank two ⋮ On topologically big divergent trajectories ⋮ Hausdorff dimension of the set of singular pairs ⋮ Values of decomposable forms at \(S\)-integral points and orbits of tori on homogeneous spaces ⋮ Divergent trajectories in arithmetic homogeneous spaces of rational rank two ⋮ Closures of locally divergent orbits of maximal tori and values of homogeneous forms

Cites Work

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• Closed orbits for actions of maximal tori on homogeneous spaces
• Divergent trajectories on noncompact parameter spaces
• Divergent torus orbits in homogeneous spaces of \({\mathbb Q}\)-rank two

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