Research Seminar in Mathematics - On the power sum problem

Speaker

Johan Andersson, Örebro University.

Abstract

We will discuss for what choices of m and n  the quantity \min_{|z_k|=1} \max_{1 \leq \nu  \leq m}  \left| \sum_{k=1}^n z_k^\nu \right| can be exactly determined, when it can be asymptotically determined and when the right order of magnitude can be found. We also discuss some applications on finding explicit constructions of RIP-matrices useful for compressed sensing and applications on constructions of ASIC-POVM's useful in quantum information theory.

Welcome!