Affiliation:
1. Department of Mathematics The University of Chicago Chicago Illinois USA
2. Mathematical Institute University of Bonn Bonn Germany
Abstract
AbstractWe consider the Hausdorff dimension of planar Besicovitch sets for rectifiable sets Γ, that is, sets that contain a rotated copy of Γ in each direction. We show that for a large class of Cantor sets C and Cantor‐graphs Γ built on C, the Hausdorff dimension of any Γ‐Besicovitch set must be at least , where .
Funder
Nemzeti Kutatási Fejlesztési és Innovációs Hivatal