On the packing dimension of distance sets with respect to $C^1$ and polyhedral norms

Iqra Altaf, Ryan Bushling, Bobby Wilson

We prove that, for every polyhedral or $C^1$ norm on ${\mathbb{R}}^d$ and every set $E\subseteq {\mathbb{R}}^d$ of packing dimension $s$, the packing dimension of the distance set of…