Hausdorff dimension of Besicovitch sets of Cantor graphs

Iqra Altaf, Marianna Csörnyei, Kornélia Héra

We consider the Hausdorff dimension of planar Besicovitch sets for rectifiable sets $\Gamma$, i.e. sets that contain a rotated copy of $\Gamma$ in each direction. We show that for a large cl…