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math.PR2021
The limit empirical spectral distribution of complex matrix polynomials
Giovanni Barbarino, Vanni Noferini
We study the empirical spectral distribution (ESD) for complex n x n matrix polynomials of degree k. We obtain exact formulae for the almost sure limit of the ESD in two distinct s…
math.PR2020★ 1 cited
The limit empirical spectral distribution of Gaussian monic complex matrix polynomials
Giovanni Barbarino, Vanni Noferini
We define the empirical spectral distribution (ESD) of a random matrix polynomial with invertible leading coefficient, and we study it for complex Gaussian monic matri…