Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation

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dc.creatorShi, Ronggang
dc.date2009-05-08
dc.date2009-05-11
dc.date.accessioned2026-07-07T13:12:59Z
dc.date.available2026-07-07T13:12:59Z
dc.descriptionWe consider improvements of Dirichlet's Theorem on space of matrices $M_{m,n}(R)$. It is shown that for a certain class of fractals $K\subset [0,1]^{mn}\subset M_{m,n}(R)$ of local maximal dimension Dirichlet's Theorem cannot be improved almost everywhere. This is shown using entropy and dynamics on homogeneous spaces of Lie groups.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0905.1152
dc.identifierhttp://arxiv.org/abs/0905.1152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229747
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject22E40 (Primary) 28D20, 11J83 (Secondary)
dc.titleEquidistribution of expanding measures with local maximal dimension and Diophantine Approximation
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