An extension of quantitative nondivergence and applications to Diophantine exponents

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dc.creatorKleinbock, Dmitry
dc.date2005-08-25
dc.date2008-05-19
dc.date.accessioned2026-07-07T09:39:28Z
dc.date.available2026-07-07T09:39:28Z
dc.descriptionWe present a sharpening of nondivergence estimates for unipotent (or more generally polynomial-like) flows on homogeneous spaces. Applied to metric Diophantine approximation, it yields precise formulas for Diophantine exponents of affine subspaces of $\Bbb R^n$ and their nondegenerate submanifolds.
dc.description26 pages, a revised version. Trans. AMS, to appear
dc.identifierhttps://arxiv.org/abs/math/0508517
dc.identifierhttp://arxiv.org/abs/math/0508517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161184
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject22F30; 11J83
dc.titleAn extension of quantitative nondivergence and applications to Diophantine exponents
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