Summing free unitary random matrices
نویسندگان
چکیده
منابع مشابه
Addition of Free Unitary Random Matrices
We consider a new class of non–hermitian random matrices, namely the ones which have the form of sums of freely independent terms which involve unitary matrices. After deriving some general identities describing additive properties of unitary matrices, we solve three particular models: CUE plus CUE, CUE plus . . . plus CUE (i. e. the sum of an arbitrary number of CUE matrices), and CUE plus a r...
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i It is a pleasure to thank Professor Stoiciu for his patience and selflessness in being my thesis advisor. Second, I would like to thank Professor Silva for being my second reader and for his helpful suggestions. Finally, I would like to thank my parents, without whom I could never have completed this thesis. One of the most important results in analysis is the Spectral Theorem, which shows th...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.84.011146