On Sums, Products, and the multidimensional Falconer problem

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.

15 pages

References in corpus (1)

• Some connections between Falconer's distance set conjecture, and sets of Furstenburg type