Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
DOI10.1007/BF01231565zbMath0816.22004OpenAlexW2088544526MaRDI QIDQ1320053
George Tomanov, Gregory A. Margulis
Publication date: 10 November 1994
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/144192
uniform distributionDiophantine approximationsmeasure rigidityOppenheim's conjecturevalues of quadratic formsRaghunathan's conjecturealgebraic groups over local fieldsactions of unipotent subgroups on homogeneous spacesfinite invariant measures
Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over local fields and their integers (20G25) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On invariant measures, minimal sets and a lemma of Margulis
- Horocycle flows, joinings and rigidity of products
- Density properties for certain subgroups of semi-simple groups without compact components
- Uniform distribution of horocycle orbits for Fuchsian groups
- Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces
- Raghunathan's topological conjecture and distributions of unipotent flows
- The Mautner phenomenon for general unitary representations
- Invariant measures and minimal sets of horospherical flows
- On measure rigidity of unipotent subgroups of semisimple groups
- On Raghunathan's measure conjecture
- Invariant measures and orbit closures for unipotent actions on homogeneous spaces
- Values of quadratic forms at integral points: An elementary approach
- Strict measure rigidity for unipotent subgroups of solvable groups
- Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\)
- Values of quadratic forms at primitive integral points
- Rationality properties of linear algebraic groups. II
- On orbits of unipotent flows on homogeneous spaces
- A proof of the estimation from below in Pesin's entropy formula
- A proof of Pesin's formula
- Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
- REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
- LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
- Rigidity of some translations on homogeneous spaces