Diagonal actions in positive characteristic
DOI10.1215/00127094-2019-0038zbMath1458.37039arXiv1705.10418OpenAlexW3100839521MaRDI QIDQ2178446
Manfred Einsiedler, Amir Mohammadi, Elon Lindenstrauss
Publication date: 11 May 2020
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.10418
invariant measurepositive characteristicergodic measurejoining classificationdiagonal actionmeasure classificationrigidity phenomena for higher-rank actions
General groups of measure-preserving transformations (28D15) Linear algebraic groups over global fields and their integers (20G30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Partially hyperbolic systems and dominated splittings (37D30) Projective representations and multipliers (20C25) General groups of measure-preserving transformations and dynamical systems (37A15) Homogeneous flows (37A17)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman)
- Homomorphismes abstraits de groupes algébriques simples
- Rigidity of measures -- the high entropy case and non-commuting foliations
- Invariant measures and the set of exceptions to Littlewood's conjecture
- On measures invariant under diagonalizable actions: the rank-one case and the general low-entropy method
- On measure rigidity of unipotent subgroups of semisimple groups
- On Raghunathan's measure conjecture
- Compact subgroups of linear algebraic groups
- Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
- Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces
- On measures invariant under tori on quotients of semisimple groups
- Joinings of higher-rank diagonalizable actions on locally homogeneous spaces
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Joinings of higher rank torus actions on homogeneous spaces
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- Groupes reductifs
- Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
- Minkowskische Reduktionstheorie über Funktionenkörpern
- Finite subgroups of algebraic groups
- Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
- Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T)
- Éléments unipotents des groupes algébriques semi-simples simplement connexes en caractéristique p > 0
- Invariant measures on G/Γ for split simple Lie groups G
- Finiteness theorems for algebraic groups over function fields
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Rigidity of measures invariant under semisimple groups in positive characteristic
- Linear algebraic groups.