On Shifting Semicircular Roots
Classical Analysis and ODEs
2022-09-13 v1 Operator Algebras
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.2209.04585,
title = {On Shifting Semicircular Roots},
author = {Shigeru Yamagami and Hiroaki Yoshida},
journal= {arXiv preprint arXiv:2209.04585},
year = {2022}
}
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32 pages