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Invariant measures for unipotent translations on homogeneous spaces.

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Publication:4712980
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DOI10.1073/pnas.87.11.4309zbMath0819.22004OpenAlexW2003727676WikidataQ33617146 ScholiaQ33617146MaRDI QIDQ4712980

Marina Ratner

Publication date: 25 June 1992

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.87.11.4309

zbMATH Keywords

homogeneous spacesconnected Lie groupsmeasures invariant under unipotent translations


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Ergodic theory on groups (22D40) Measures on groups and semigroups, etc. (43A05) Discrete subgroups of Lie groups (22E40)


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On effective equidistribution for quotients of \(\mathrm{SL}(d, \mathbb{R} )\), Uniformly distributed orbits of certain flows on homogeneous spaces, On measure rigidity of unipotent subgroups of semisimple groups, Horocycle flow on geometrically finite surfaces, Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\), Mixing, counting, and equidistribution in Lie groups



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