177 citations · 872 across the 49 of their papers we have counts for
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math.PR2007★ 1 cited
The spectrum of heavy-tailed random matrices
Gerard Ben Arous, Alice Guionnet
Let be an $N\ts N$ random symmetric matrix with independent equidistributed entries. If the law of the entries has a finite second moment, it was shown by Wigner \cite{wi…
math.PR2007
Regularization by free additive convolution, square and rectangular cases
Serban Belinschi, Florent Benaych-Georges, Alice Guionnet
The free convolution is the binary operation on the set of probability measures on the real line which allows to deduce, from the individual spectral distributions, the spectral di…
math.PR2007
On Classical Analogues of Free Entropy Dimension
A. Guionnet, D. Shlyakhtenko
We define a classical probability analogue of Voiculescu's free entropy dimension that we shall call the classical probability entropy dimension of a probability measure on $\mathb…