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20052024
most citedThe largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations

203 citations · 283 across the 16 of their papers we have counts for

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math.PR2005★ 1 cited

Strong asymptotic freeness for Wigner and Wishart matrices

Mireille Capitaine, Catherine Donati-Martin

We prove that any non commutative polynomial of r independent copies of Wigner matrices converges a.s. towards the polynomial of r free semicircular variables in operator norm. Thi…