Strong asymptotic freeness for Wigner and Wishart matrices
Strong asymptotic freeness for Wigner and Wishart matrices
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. This result extends a previous work of Haagerup and Thorbjornsen where GUE matrices are considered, as well as the classical asymptotic freeness for …