Rational sphere maps, linear programming, and compressed sensing
arXiv:1911.05559 · doi:10.1007/s40627-020-0041-5
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.
arXiv comment22 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
References in corpus (6)
- Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics
- Complexity results for CR mappings between spheres
- On the complexity of proper holomorphic mappings between balls
- Homotopy equivalence for proper holomorphic mappings
- Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics
- Uniqueness of certain polynomials constant on a line