Capacity Preserving Operators. (arXiv:1804.04351v1 [math.CO])

We explore what sorts of operators transfer capacity properties between polynomials. As expected, these operators are very related to stability preserving operators. The results given here generalize the famous original capacity result of Gurvits, as well as a lower bound achieved recently by Anari and Gharan. Additionally, our results follow from combining these ideas with those used in the Borcea-Br\"and\'en linear operator characterization. 查看全文>>