Erdős Distance Problem in ${\mathbb{R}}^d$

Esen Aksoy Yazici

In this paper, we prove Erdős distance conjecture in ${\mathbb{R}}^d$, namely, a set of $n$ points in ${\mathbb{R}}^2$ determines $\Omega (\frac{n}{\sqrt{\log n}})$ distances, and for $d\ge…