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math.PR2019★ 4 cited
Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices
Serban Belinschi, Charles Bordenave, Mireille Capitaine +1
We consider a square random matrix of size of the form where is a noncommutative polynomial, is a tuple of deterministic matrices converging in -distribu…
math.PR2018
A quantitative fourth moment theorem in free probability theory
Guillaume Cébron
A quantitative "fourth moment theorem" is provided for any self-adjoint element in a homogeneous Wigner chaos: the Wasserstein distance is controlled by the distance from the fourt…
math.PR2015
Haar states and Lévy processes on the unitary dual group
Guillaume Cébron, Michaël Ulrich
We study states on the universal noncommutative *-algebra generated by the coefficients of a unitary matrix, or equivalently states on the unitary dual group. Its structure of dual…