Divergent trajectories on noncompact parameter spaces

DOI10.1007/s00039-004-0453-zzbMath1074.37004OpenAlexW2064266437MaRDI QIDQ1889819

Barak Weiss

Publication date: 13 December 2004

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-004-0453-z

zbMATH Keywords

homogeneous spacesrates of escapedivergenet trajectoriesquadratic differential spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15)

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Divergent trajectories on products of homogeneous spaces ⋮ Singular vectors on manifolds and fractals ⋮ Logarithm laws for unipotent flows. II. ⋮ Existence of non-obvious divergent trajectories in homogeneous spaces ⋮ Divergent trajectories and \({\mathbb Q}\)-rank ⋮ Divergent torus orbits in homogeneous spaces of \({\mathbb Q}\)-rank two ⋮ An `almost all versus no' dichotomy in homogeneous dynamics and Diophantine approximation ⋮ On topologically big divergent trajectories ⋮ Hausdorff dimension of the set of singular pairs ⋮ Bounded and divergent trajectories and expanding curves on homogeneous spaces ⋮ Measure rigidity for solvable group actions in the space of lattices ⋮ Invariant measures for solvable groups and Diophantine approximation ⋮ Divergent trajectories in arithmetic homogeneous spaces of rational rank two ⋮ Hausdorff dimension of divergent trajectories on homogeneous spaces ⋮ Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials

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