Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation

Autor: Shi, Ronggang
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