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arXiv · 2208.11297

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

Katsunori Fujie·Yuki Ueda
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Abstract

We provide the law of large numbers for roots of finite free multiplicative convolution of polynomials which 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 when their degree tends to infinity.

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Katsunori Fujie, Yuki Ueda. 2022-08-24. Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials. https://doi.org/10.3842/sigma.2023.004

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