On measure rigidity of unipotent subgroups of semisimple groups

Marina Ratner

Type: Article

Publication Date: 1990-01-01

Citations: 123

DOI: https://doi.org/10.1007/bf02391906

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Abstract

Measurable quotients of unipotent translations on homogeneous spaces.To appear.

Locations

Acta Mathematica - View - PDF

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Works Cited by This (18)

Action	Title	Year	Authors
+	Discrete Subgroups and Ergodic Theory**Editorial note. After consultation with G. A. Margulis it was agreed to make some changes directly on the original manuscript, without returning it to him, in order to save time. A. Borel kindly provided the necessary revision, including an additional argument supplied by G. Prasad in the proof of Lemma A. The appendix in the original manuscript has been transformed and reorganized into Section 4; the historical background material and the bibliography …	1989	G. A. Margulis
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys
+	Invariant measures of horospherical flows on noncompact homogeneous spaces	1978	S. G. Dani
+	Zero-Entropy Affine Maps on Homogeneous Spaces	1987	Dave Witte
+	Strict measure rigidity for unipotent subgroups of solvable groups	1990	Marina Ratner
+	Invariant measures and minimal sets of horospherical flows	1981	S. G. Dani
+	Flows on Homogeneous Spaces: A New Look	1981	Jonathan Brezin Calvin C. Moore
+	Weak mixing and unique ergodicity on homogeneous spaces	1976	Rufus Bowen
+	Group structure and the pointwise ergodic theorem for connected amenable groups	1974	Frederick Greenleaf William R. Emerson
+	Unique ergodicity of flows on homogeneous spaces	1978	Robert Ellis William Perrizo