Rational sphere maps, linear programming, and compressed sensing
Complex Variables
2020-06-16 v2
Abstract
We develop a link between degree estimates for rational sphere maps and compressed sensing. We provide several new ideas and many examples, both old and new, that amplify connections with linear programming. We close with a list of ten open problems.
Cite
@article{arxiv.1911.05559,
title = {Rational sphere maps, linear programming, and compressed sensing},
author = {John P. D'Angelo and Dusty Grundmeier and Jiri Lebl},
journal= {arXiv preprint arXiv:1911.05559},
year = {2020}
}
Comments
22 pages. To appear in a special issue of Complex Analysis and its Synergies entitled "Geometric Analysis of PDEs and Several Complex Variables". The changes from the first version are minimal, consisting primarily of two new sentences at the end of the introduction and a bit more discussion of Problem 4. We also corrected two typos, made two small changes for clarity, and added a reference