Adding and multiplying random matrices: A generalization of Voiculescu’s formulas
نویسندگان
چکیده
منابع مشابه
Adding and multiplying random matrices: a generalization of Voiculescu's formulas.
In this paper, we give an elementary proof of the additivity of the functional inverses of the resolvents of large N random matrices, using recently developed matrix model techniques. This proof also gives a very natural generalization of these formulas to the case of measures with an external field. A similar approach yields a relation of the same type for multiplication of random matrices.
متن کاملAdding and multiplying random matrices: a generalization of Voiculescu’s formulae
In this paper, we give an elementary proof of the additivity of the functional inverses of the resolvents of large N random matrices, using recently developed matrix model techniques. This proof also gives a very natural generalization of these formulae to the case of measures with an external field. A similar approach yields a relation of the same type for multiplication of random matrices. 10...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.59.4884