71 citations · 258 across the 47 of their papers we have counts for
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Spectral analysis of the Gram matrix of mixture models
Florent Benaych-Georges, Romain Couillet
This text is devoted to the asymptotic study of some spectral properties of the Gram matrix built upon a collection of random vecto…
Poisson statistics for matrix ensembles at large temperature
Florent Benaych-Georges, Sandrine Péché
In this article, we consider -ensembles, i.e. collections of particles with random positions on the real line having joint distribution $$\frac{1}{Z_N(β)}|Δ(λ)|^βe^{- \frac{Nβ}{…
Fluctuations for analytic test functions in the Single Ring Theorem
Florent Benaych-Georges, Jean Rochet
We consider a non-Hermitian random matrix whose distribution is invariant under the left and right actions of the unitary group. The so-called Single Ring Theorem, proved by Gu…
Local Single Ring Theorem
Florent Benaych-Georges
The Single Ring Theorem, by Guionnet, Krishnapur and Zeitouni, describes the empirical eigenvalue distribution of a large generic matrix with prescribed singular values, i.e. an $N…