Limit theorems for the distance of random points in $l_p^n$-balls

David Alonso-Gutiérrez, Javier Martín Goñi, Joscha Prochno

In this paper, we prove that the Euclidean distance between two independent random vectors uniformly distributed on $l_p^n$-balls $(1\le p\le \infty )$ or on its boundary satisf…