Diophantine exponents of measures: a dynamical approach

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We 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.
AMSTeX, 12 pages

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Number Theory, Dynamical Systems, 11J83; 37A13

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http://salesiana.dossiersoluciones.com/handle/123456789/75583

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506512
 http://arxiv.org/abs/math/0506512

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arXiv