English

On Intersections of Cantor Sets: Hausdorff Measure

Metric Geometry 2012-06-25 v2 Classical Analysis and ODEs

Abstract

We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates. As a consequence we obtain a formula for the Hausdorff dimensions of these intersections.

Keywords

Cite

@article{arxiv.1203.4290,
  title  = {On Intersections of Cantor Sets: Hausdorff Measure},
  author = {Steen Pedersen and Jason D. Phillips},
  journal= {arXiv preprint arXiv:1203.4290},
  year   = {2012}
}

Comments

19 pages