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• W2044238503 abstract "LetL be a Lie group and λ a lattice inL. SupposeG is a non-compact simple Lie group realized as a Lie subgroup ofL and $$overline {GA} = L$$ . LetaεG be such that Ada is semisimple and not contained in a compact subgroup of Aut(Lie(G)). Consider the expanding horospherical subgroup ofG associated toa defined as U+ ={g&#x03B5;G:a −n gan} →e as n → ∞. Let Ω be a non-empty open subset ofU + andn i → ∞ be any sequence. It is showed that $$overline { cup _{i = 1}^infty a^n Omega Lambda } = L$$ . A stronger measure theoretic formulation of this result is also obtained. Among other applications of the above result, we describeG-equivariant topological factors of L/gl × G/P, where the real rank ofG is greater than 1,P is a parabolic subgroup ofG andG acts diagonally. We also describe equivariant topological factors of unipotent flows on finite volume homogeneous spaces of Lie groups." @default.
• W2044238503 created "2016-06-24" @default.
• W2044238503 creator A5047481860 @default.
• W2044238503 date "1996-05-01" @default.
• W2044238503 modified "2023-10-16" @default.
• W2044238503 title "Limit distributions of expanding translates of certain orbits on homogeneous spaces" @default.
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• W2044238503 doi "https://doi.org/10.1007/bf02837164" @default.
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