Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials

We provide the law of large numbers for roots of finite free multiplicative convolution of polynomials that have only non-negative real roots. Moreover, we study the empirical root distributions of limit polynomials obtained through the law of large numbers of finite free multiplicative convolution...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Fujie, Katsunori, Ueda, Yuki
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211880
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials. Katsunori Fujie and Yuki Ueda. SIGMA 19 (2023), 004, 11 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine