Asymptotics of the maximal radius of an $L^r$-optimal sequence of quantizers

Gilles Pagès, Abass Sagna

Let $P$ be a probability distribution on ${\mathbb{R}}^d$ (equipped with an Euclidean norm $|\cdot |$). Let $r>0$ and let $({\alpha }_n{)}_{n\ge 1}$ be an (asymptotically) $L^r(P)$-optimal…