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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Vydané v:	Mathematische annalen Ročník 388; číslo 1; s. 543 - 574
Hlavní autori:	Collins, Benoît, Mai, Tobias, Miyagawa, Akihiro, Parraud, Félix, Yin, Sheng
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2024 Springer Nature B.V
Predmet:	Algebra Approximation Codes Convergence Mathematics Mathematics and Statistics Matrix algebra Operators (mathematics) Polynomials Random variables Rational functions
ISSN:	0025-5831, 1432-1807
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