Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation
Autor: | Shi, Ronggang |
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Jazyk: | angličtina |
Rok vydání: | 2009 |
Předmět: | |
Druh dokumentu: | Text |
Popis: | We consider improvements of Dirichlet’s Theorem on space of matrices $M_{m,n}(R)$. It is shown that for a certain class of fractals $Ksubset [0,1]^{mn}subset M_{m,n}(R)$ 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. |
Databáze: | Networked Digital Library of Theses & Dissertations |
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