On Sums, Products, and the multidimensional Falconer problem
Classical Analysis and ODEs
2007-05-23 v1 Combinatorics
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.
Cite
@article{arxiv.math/0607233,
title = {On Sums, Products, and the multidimensional Falconer problem},
author = {Nets Hawk Katz},
journal= {arXiv preprint arXiv:math/0607233},
year = {2007}
}
Comments
15 pages