A. Guionnet

activity

20012023

most citedAsymptotic expansion of beta matrix models in the one-cut regime

177 citations · 872 across the 49 of their papers we have counts for

collaborators

Showing 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019★ 17 cited

On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices

Benoît Collins, Alice Guionnet, Félix Parraud

Let $X^{N} = (X_{1}^{N}, \dots, X_{d}^{N})$ be a d-tuple of $N \times N$ independent GUE random matrices and $Z^{N M}$ be any family of deterministic matrices in $\mathbb{M}_N(\mathbb{C})\otime…

math.PR2019

Large deviations for the largest eigenvalue of sub-Gaussian matrices

Fanny Augeri, Alice Guionnet, Jonathan Husson

We establish large deviations estimates for the largest eigenvalue of Wigner matrices with sub-Gaussian entries. Under technical assumptions, we show that the large deviation behav…

math.PR2019★ 7 cited

Large deviations for the largest eigenvalues and eigenvectors of spiked random matrices

Giulio Biroli, Alice Guionnet

We consider matrices formed by a random $N \times N$ matrix drawn from the Gaussian Orthogonal Ensemble (or Gaussian Unitary Ensemble) plus a rank-one perturbation of strength $θ$ ,…