Multihomogenous Nonnegative Polynomials and Sums of Squares
Algebraic Geometry
2018-06-11 v3 Metric Geometry
Abstract
We refine and extend quantitative bounds, on the fraction of nonnegative polynomials that are sums of squares, to the multihomogenous case.
Keywords
Cite
@article{arxiv.1601.04623,
title = {Multihomogenous Nonnegative Polynomials and Sums of Squares},
author = {Alperen Ergur},
journal= {arXiv preprint arXiv:1601.04623},
year = {2018}
}
Comments
Revised the article to improve overall presentation. Included a section on background material upon referee's suggestion. The article now explains the connection between nonnegative polynomials and isotropic measures in a more detailed way. An application of the results in this article to quantum information theory was found independently from us, which we include the reference