Friendly measures, homogeneous flows and singular vectors

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dc.creatorKleinbock, Dmitry
dc.creatorWeiss, Barak
dc.date2005-06-24
dc.date.accessioned2026-07-07T05:21:09Z
dc.date.available2026-07-07T05:21:09Z
dc.descriptionWe prove that singular vectors have measure zero with respect to any friendly measure on $\Bbb R^n$ (e.g. the volume measure on a nondegenerate submanifold). This generalizes special cases considered by Davenport-Schmidt, Baker and Bugeaud. The main tool is quantitative nondivergence estimates for quasi-polynomial flows on homogeneous spaces.
dc.descriptionLaTeX, 15 pages
dc.identifierhttps://arxiv.org/abs/math/0506513
dc.identifierhttp://arxiv.org/abs/math/0506513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75584
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11J83; 37A13
dc.titleFriendly measures, homogeneous flows and singular vectors
dc.typetext

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