Diophantine exponents of measures: a dynamical approach

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dc.creatorKleinbock, Dmitry
dc.date2005-06-24
dc.date.accessioned2026-07-07T05:21:08Z
dc.date.available2026-07-07T05:21:08Z
dc.descriptionWe place the theory of metric Diophantine approximation on manifolds into a broader context of studying Diophantine properties of points generic with respect to certain measures on $\Bbb R^n$. The correspondence between multidimensional Diophantine approximation and dynamics of lattices in Euclidean spaces is discussed in an elementary way, and several recent results obtained by means of this correspondence are surveyed.
dc.descriptionAMSTeX, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0506512
dc.identifierhttp://arxiv.org/abs/math/0506512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75583
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11J83; 37A13
dc.titleDiophantine exponents of measures: a dynamical approach
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