Further Developments in Fractals and Related Fields 2013
DOI: 10.1007/978-0-8176-8400-6_3
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Hausdorff Dimension and Diophantine Approximation

Yann Bugeaud
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Abstract: Abstract. In the present survey paper, we explain how the theory of Hausdorff dimension and Hausdorff measure is used to answer certain questions in Diophantine approximation. The final section is devoted to a discussion around the Diophantine properties of the points lying in the middle third Cantor set.

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