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Finite free convolutions of polynomials

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 symmetric additive and multiplicative convolutions were in...

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Detalles Bibliográficos
Autores principales: Marcus, Adam W., Spielman, Daniel A., Srivastava, Nikhil
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9013345/
https://www.ncbi.nlm.nih.gov/pubmed/35509286
http://dx.doi.org/10.1007/s00440-021-01105-w