2022/09/10 by Shigeru Yamagami, Hiroaki Yoshida, Yamagami, Shigeru +1
Mathematics · Physics and Astronomy · #46L54 (Primary) 46N30 #60E10 (Secondary) #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2209.04585
openalex publication_date 2022/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the framework of continued fraction expansions of Stieltjes transforms, we consider shifting of semicircular laws. The continuous part of the associated measure admits a density function which is the quotient of semicircular one by a polynomial. We study how this polynomial denominator determines shifted semicircular laws, with explicit descriptions in examples of shifting up to the level of step two.