Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics

A framework to study the eigenvalue probability density function for products of unitary random matrices with an invariance property is developed. This involves isolating a class of invariant unitary matrices, to be referred to as cyclic Pólya ensembles, and examining their properties with respect t...

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Bibliographic Details
Published in:	Constructive approximation Vol. 57; no. 3; pp. 1063 - 1108
Main Authors:	Kieburg, Mario, Li, Shi-Hao, Zhang, Jiyuan, Forrester, Peter J.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2023 Springer Nature B.V
Subjects:	Analysis Determinants Eigenvalues Fourier transforms Harmonic analysis Invariants Mathematics Mathematics and Statistics Matrices (mathematics) Numerical Analysis Polynomials Probability density functions Random variables Thermal cycling 15B52 Random matrices Bilateral Hypergeometric series Spherical transform Spectral statistics 60B20 43A85 43A90
ISSN:	0176-4276, 1432-0940
Online Access:	Get full text
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