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- Ratners_theorems abstract "In mathematics, Ratner's theorems are a group of major theorems in ergodic theory concerning unipotent flows on homogeneous spaces proved by Marina Ratner around 1990. The theorems grew out of Ratner's earlier work on horocycle flows. The study of the dynamics of unipotent flows played a decisive role in the proof of the Oppenheim conjecture by Grigory Margulis. Ratner's theorems have guided key advances in the understanding of the dynamics of unipotent flows. Their later generalizations provide ways to both sharpen the results and extend the theory to the setting of arbitrary semisimple algebraic groups over a local field.".
- Ratners_theorems wikiPageExternalLink Ratner-v1-1.pdf.
- Ratners_theorems wikiPageID "15906926".
- Ratners_theorems wikiPageLength "4535".
- Ratners_theorems wikiPageOutDegree "26".
- Ratners_theorems wikiPageRevisionID "665125132".
- Ratners_theorems wikiPageWikiLink Acta_Math..
- Ratners_theorems wikiPageWikiLink Acta_Mathematica.
- Ratners_theorems wikiPageWikiLink Ann._of_Math..
- Ratners_theorems wikiPageWikiLink Annals_of_Mathematics.
- Ratners_theorems wikiPageWikiLink Category:Ergodic_theory.
- Ratners_theorems wikiPageWikiLink Category:Lie_groups.
- Ratners_theorems wikiPageWikiLink Category:Theorems_in_dynamical_systems.
- Ratners_theorems wikiPageWikiLink Connectedness.
- Ratners_theorems wikiPageWikiLink Dense_set.
- Ratners_theorems wikiPageWikiLink Dense_subset.
- Ratners_theorems wikiPageWikiLink Duke_Math._J..
- Ratners_theorems wikiPageWikiLink Duke_Mathematical_Journal.
- Ratners_theorems wikiPageWikiLink Equidistribution_theorem.
- Ratners_theorems wikiPageWikiLink Ergodic_theory.
- Ratners_theorems wikiPageWikiLink Flow_(mathematics).
- Ratners_theorems wikiPageWikiLink Grigory_Margulis.
- Ratners_theorems wikiPageWikiLink Homogeneous_space.
- Ratners_theorems wikiPageWikiLink International_Mathematics_Research_Notices.
- Ratners_theorems wikiPageWikiLink Invent._Math..
- Ratners_theorems wikiPageWikiLink Inventiones_Mathematicae.
- Ratners_theorems wikiPageWikiLink Lattice_(discrete_subgroup).
- Ratners_theorems wikiPageWikiLink Lie_group.
- Ratners_theorems wikiPageWikiLink Local_field.
- Ratners_theorems wikiPageWikiLink Marina_Ratner.
- Ratners_theorems wikiPageWikiLink Mathematics.
- Ratners_theorems wikiPageWikiLink One-parameter_group.
- Ratners_theorems wikiPageWikiLink One-parameter_subgroup.
- Ratners_theorems wikiPageWikiLink Oppenheim_conjecture.
- Ratners_theorems wikiPageWikiLink Semisimple_algebraic_group.
- Ratners_theorems wikiPageWikiLink Unipotent.
- Ratners_theorems wikiPageWikiLinkText "Ratner's theorems".
- Ratners_theorems hasPhotoCollection Ratners_theorems.
- Ratners_theorems wikiPageUsesTemplate Template:Cite_book.
- Ratners_theorems wikiPageUsesTemplate Template:Cite_journal.
- Ratners_theorems subject Category:Ergodic_theory.
- Ratners_theorems subject Category:Lie_groups.
- Ratners_theorems subject Category:Theorems_in_dynamical_systems.
- Ratners_theorems hypernym Group.
- Ratners_theorems type Band.
- Ratners_theorems comment "In mathematics, Ratner's theorems are a group of major theorems in ergodic theory concerning unipotent flows on homogeneous spaces proved by Marina Ratner around 1990. The theorems grew out of Ratner's earlier work on horocycle flows. The study of the dynamics of unipotent flows played a decisive role in the proof of the Oppenheim conjecture by Grigory Margulis. Ratner's theorems have guided key advances in the understanding of the dynamics of unipotent flows.".
- Ratners_theorems label "Ratner's theorems".
- Ratners_theorems sameAs m.03qfq0r.
- Ratners_theorems sameAs Q7295875.
- Ratners_theorems sameAs Q7295875.
- Ratners_theorems wasDerivedFrom Ratners_theoremsoldid=665125132.
- Ratners_theorems isPrimaryTopicOf Ratners_theorems.