Finite free convolutions of polynomials

2015.

Cited by: 16|Bibtex|Views36
Other Links: academic.microsoft.com|arxiv.org

Abstract:

We study three convolutions of polynomials that are inspired by free probability. We define these to be the expected characteristic polynomials of certain random matrices. The symmetric additive and multiplicative convolutions have been studied for a century. The asymmetric additive convolution, and the connection of all of them with rand...More

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