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- W2322154931 abstract "Let G be an ℝ-algebraic semisimple group, H an algebraic ℝ-subgroup, and Γ a lattice in G. Partially answering a question posed by Hillel Furstenberg in 1972, we prove that if the action of H on G/Γ is minimal, then it is uniquely ergodic. Our proof uses in an essential way Marina Ratner’s classification of probability measures on G/Γ invariant under unipotent elements, and the study of “tubes” in G/Γ." @default.
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- W2322154931 date "1998-01-01" @default.
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- W2322154931 title "Minimality and unique ergodicity for subgroup actions" @default.
- W2322154931 doi "https://doi.org/10.5802/aif.1665" @default.
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