Law of large numbers for roots of finite free multiplicative convolution of polynomials

DOI10.3842/SIGMA.2023.004MaRDI QIDQ2682666

Yuki Ueda, Katsunori Fujie

Publication date: 1 February 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11297

zbMATH Keywords

law of large numbersfinite free multiplicative convolutionfinite free probability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Real polynomials: location of zeros (26C10)

Cites Work

• Some weak laws of large numbers in noncommutative probability
• Finite free convolutions of polynomials
• Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution
• Limits laws for geometric means of free random variables
• The Law of Large Numbers for the Free Multiplicative Convolution
• Finite free cumulants: Multiplicative convolutions, genus expansion and infinitesimal distributions
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