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math.PR2022
Superconvergence in free probability limit theorems for arbitrary triangular arrays
Hari Bercovici, Ching-Wei Ho, Jiun-Chau Wang +1
It is known that limit theorems for triangular arrays with identically distributed rows yields convergence of densities rather than just convergence in distribution. We show that t…
math.PR2012
Outliers in the spectrum of large deformed unitarily invariant models
Serban Teodor Belinschi, Hari Bercovici, Mireille Capitaine +1
We investigate the asymptotic behavior of the eigenvalues of the sum A+U*BU, where A and B are deterministic N by N Hermitian matrices having respective limiting compactly supporte…