On the optimal Voronoi partitions for Ahlfors-David measures with respect to the geometric mean error

Sanguo Zhu, Youming Zhou

Let $\mu$ be an Ahlfors-David probability measure on ${\mathbb{R}}^q$ with support $K$. For every $n\ge 1$, let $C_n(\mu )$ denote the collection of all the $n$-optimal sets for $\mu$ with…