On Sums, Products, and the multidimensional Falconer problem

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A set in d dimensional Euclidean space with d larger than 2 having Hausdorff dimension at least d/2 must have distance set with Hausdorff dimension strictly greater than 1/2.
15 pages

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Classical Analysis and ODEs, Combinatorics, 05B99,28A75,28A78

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http://salesiana.dossiersoluciones.com/handle/123456789/114218

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607233
 http://arxiv.org/abs/math/0607233

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arXiv