An analogue of Szego's limit theorem in free probability theory
Junhao Shen
TL;DR
This paper extends Szego's limit theorem to free probability theory, providing new insights into orthogonal polynomials within this mathematical framework.
Contribution
It introduces an analogue of Szego's limit theorem specifically tailored for free probability theory, advancing the theoretical understanding.
Findings
Established an analogue of Szego's limit theorem in free probability
Enhanced understanding of orthogonal polynomials in free probability
Provided mathematical tools for future research in free probability
Abstract
In the paper, we discuss orthogonal polynomials in free probability theory. Especially, we prove an analogue of of Szego's limit theorem in free probability theory.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Combinatorial Mathematics · Advanced Mathematical Identities