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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• 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
• 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

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...