On the multiparameter Falconer distance problem

Xiumin Du, Yumeng Ou, Ruixiang Zhang

We study an extension of the Falconer distance problem in the multiparameter setting. Given $\ell \ge 1$ and ${\mathbb{R}}^d={\mathbb{R}}^{d_1}\times \cdots \times {\mathbb{R}}^{d_{\ell }}$…