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Publikováno v:
Probability Theory and Related Fields. 182:807-848
We study three convolutions of polynomials in the context of free probability theory. We prove that these convolutions can be written as the expected characteristic polynomials of sums and products of unitarily invariant random matrices. The symmetri
Autor:
Aurelien Gribinski, Adam W. Marcus
We define the rectangular additive convolution of polynomials with nonnegative real roots as a generalization of the asymmetric additive convolution introduced by Marcus, Spielman and Srivastava. We then prove a sliding bound on the largest root of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::291dcbd40a636c81cdceddcf83b4f50c
http://arxiv.org/abs/1904.11552
http://arxiv.org/abs/1904.11552