A group-theoretic viewpoint on Erdos-Falconer problems and the Mattila integral

A. Greenleaf, A. Iosevich, B. Liu +1

We obtain nontrivial exponents for Erd\H os-Falconer type problems. Let $T_k(E)$ denote the set of distinct congruent $k$-dimensional simplexes determined by $(k+1)$-tuples of poin…