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Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation
Shi, Ronggang

2009, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Manfred Einsiedler (Advisor)
Vitaly Bergelson (Committee Member)
James Cogdell (Committee Member)
102 p.

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Shi, R. (2009). Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Shi, Ronggang. "Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation." Electronic Thesis or Dissertation. Ohio State University, 2009. OhioLINK Electronic Theses and Dissertations Center. 26 Sep 2017.

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Shi, Ronggang "Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation." Electronic Thesis or Dissertation. Ohio State University, 2009. https://etd.ohiolink.edu/

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