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- W2950030224 abstract "The main goal of this work is to establish quantitative nondivergence estimates for flows on homogeneous spaces of products of real and $p$-adic Lie groups. These results have applications both to ergodic theory and to Diophantine approximation. Namely, earlier results of Dani (finiteness of locally finite ergodic unipotent-invariant measures on real homogeneous spaces) and Kleinbock-Margulis (strong extremality of nondegenerate submanifolds of $Bbb R^n$) are generalized to the $S$-arithmetic setting." @default.
- W2950030224 created "2019-06-27" @default.
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- W2950030224 date "2005-06-24" @default.
- W2950030224 modified "2023-09-27" @default.
- W2950030224 title "Flows on $S$-arithmetic homogeneous spaces and applications to metric Diophantine approximation" @default.
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