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The strong asymptotic freeness of Haar and deterministic matrices

The strong asymptotic freeness of Haar and deterministic matrices

In this paper, we are interested in sequences of q-tuple of N × N random matrices having a strong limiting distribution (i.e.given any non-commutative polynomial in the matrices and their conjugate transpose, its normalized trace and its norm converge).We start with such a sequence having this property, and we show …