Exeptional set estimates for the Hausdorff dimension of intersections
Metric Geometry
2018-01-03 v1
Abstract
For Borel subsets A and B of the Euclidean n-space the intersection of A with generic rotations and translations of B has often Hausdorff dimension at least dim A + dim B - n. Estimates for the exceptional set of rotations are derived.
Cite
@article{arxiv.1606.09154,
title = {Exeptional set estimates for the Hausdorff dimension of intersections},
author = {Pertti Mattila},
journal= {arXiv preprint arXiv:1606.09154},
year = {2018}
}