Convergence for noncommutative rational functions evaluated in random matrices

One of the main applications of free probability is to show that for appropriately chosen independent copies of d random matrix models, any noncommutative polynomial in these d variables has a spectral distribution that converges asymptotically and can be described with the help of free probability....

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Bibliographic Details

Published in:	Mathematische annalen Vol. 388; no. 1; pp. 543 - 574
Main Authors:	Collins, Benoît, Mai, Tobias, Miyagawa, Akihiro, Parraud, Félix, Yin, Sheng
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2024 Springer Nature B.V
Subjects:	Algebra Approximation Codes Convergence Mathematics Mathematics and Statistics Matrix algebra Operators (mathematics) Polynomials Random variables Rational functions
ISSN:	0025-5831, 1432-1807
Online Access:	Get full text
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