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- W2169687370 abstract "Abstract Let G be a connected Lie group and let Γ be a lattice in G (not necessarily co-compact). We show that if ( u t ) is a unipotent one-parameter subgroup of G then every ergodic invariant (locally finite) measure of the action of ( u t ) on G /Γ is finite. For ‘arithmetic lattices’ this was proved in [2]. The present generalization is obtained by studying the ‘frequency of visiting compact subsets’ for unbounded orbits of such flows in the special case where G is a connected semi-simple Lie group of ℝ-rank 1 and Γ is any (not necessarily arithmetic) lattice in G ." @default.
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- W2169687370 date "1984-03-01" @default.
- W2169687370 modified "2023-10-17" @default.
- W2169687370 title "On orbits of unipotent flows on homogeneous spaces" @default.
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- W2169687370 doi "https://doi.org/10.1017/s0143385700002248" @default.
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