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Applications of Realizations (aka Linearizations) to Free Probability

, , and . (2015)cite arxiv:1511.05330Comment: We have undertaken a major revision, mainly for the sake of clarity and readability.

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Lectures on the Combinatorics of Free Probability Theory, and . (2018)Free Probability Theory. (2009)cite arxiv:0911.0087Comment: 21 pages; my contribution for the Handbook on Random Matrix Theory, to be published by Oxford University Press.Free Probability Theory. (2018)Spectra of large block matrices, , , and . (2006)Free Deterministic Equivalents, Rectangular Random Matrix Models, and Operator-Valued Free Probability Theory, , and . (2011)cite arxiv:1110.1237Comment: 21 pages (Appendix by Tobias Mai).Multiplication of free random variables and the S-transform: the case of vanishing mean, and . (2007)Random matrices, and . (2018)Lecture Notes on "Free Probability Theory". (2019)Applications of Realizations (aka Linearizations) to Free Probability, , and . (2015)cite arxiv:1511.05330Comment: We have undertaken a major revision, mainly for the sake of clarity and readability.Combinatorics of free cumulants, and . (1999)cite arxiv:math/9905094Comment: 26 pages, Latex2e.