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Complete diagrammatics of the single-ring theorem


Complete diagrammatics of the single-ring theorem

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dc.contributor.author Nowak, Maciej [SAP11009939] pl
dc.contributor.author Tarnowski, Wojciech [USOS147372] pl
dc.date.accessioned 2018-03-15T13:51:26Z
dc.date.available 2018-03-15T13:51:26Z
dc.date.issued 2017 pl
dc.identifier.issn 2470-0045 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/51967
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title Complete diagrammatics of the single-ring theorem pl
dc.type JournalArticle pl
dc.abstract.en Using diagrammatic techniques, we provide explicit functional relations between the cumulant generating functions for the biunitarily invariant ensembles in the limit of large size of matrices. The formalism allows us to map two distinct areas of free random variables: Hermitian positive definite operators and non-normal R-diagonal operators. We also rederive the Haagerup-Larsen theorem and show how its recent extension to the eigenvector correlation function appears naturally within this approach. pl
dc.description.volume 96 pl
dc.description.number 4 pl
dc.identifier.doi 10.1103/PhysRevE.96.042149 pl
dc.identifier.eissn 2470-0053 pl
dc.title.journal Physical Review. E pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 042149 pl
dc.rights.original bez licencji pl
.pointsMNiSW [2017 A]: 35

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