Finite free convolutions of polynomials

DOI10.1007/s00440-021-01105-wzbMath1499.60015arXiv1504.00350OpenAlexW4213141833MaRDI QIDQ2128099

Adam W. Marcus, Nikhil Srivastava, Daniel A. Spielman

Publication date: 21 April 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00350

zbMATH Keywords

random matrix theoryfree probabilityRamanujan graphsinterlacing families

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Algebraic combinatorics (05E99) Real polynomials: location of zeros (26C10)

Related Items

Counting matchings via capacity-preserving operators, The flow of polynomial roots under differentiation, Mixed determinants and the Kadison-Singer problem, Finite free cumulants: Multiplicative convolutions, genus expansion and infinitesimal distributions, Free Convolution Powers Via Roots of Polynomials, Finite free convolutions via Weingarten calculus, Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions, Law of large numbers for roots of finite free multiplicative convolution of polynomials, Amalgamation of real zero polynomials, Certifying Polynomial Nonnegativity via Hyperbolic Optimization, Spectrahedrality of hyperbolicity cones of multivariate matching polynomials

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