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On Sums, Products, and the multidimensional Falconer problem

Nets Hawk Katz
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Abstract

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.

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Nets Hawk Katz. 2006-07-09. On Sums, Products, and the multidimensional Falconer problem. https://arxiv.org/abs/math/0607233

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