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 2012 · math.PRShow all

3 papers · 2 filters

math.PR2012★ 18 cited

A diffusive matrix model for invariant $β$ -ensembles

Romain Allez, Alice Guionnet

We define a new diffusive matrix model converging towards the $β$ -Dyson Brownian motion for all $β \in [0, 2]$ that provides an explicit construction of $β$ -ensembles of random matri…

math.PR2012★ 88 cited

Invariant $β$ -ensembles and the Gauss-Wigner crossover

Romain Allez, Jean-Philippe Bouchaud, Alice Guionnet

We define a new diffusive matrix model converging towards the $β$ -Dyson Brownian motion for all $β \in [0, 2]$ that provides an explicit construction of $β$ -ensembles of random matr…

math.PR2012★ 3 cited

Localization and delocalization of eigenvectors for heavy-tailed random matrices

Charles Bordenave, Alice Guionnet

Consider an n x n Hermitian random matrix with, above the diagonal, independent entries with alpha-stable symmetric distribution and 0 < alpha < 2. We establish new bounds on the r…

A diffusive matrix model for invariant β-ensembles

Invariant β-ensembles and the Gauss-Wigner crossover

Localization and delocalization of eigenvectors for heavy-tailed random matrices

A diffusive matrix model for invariant $β$ -ensembles

Invariant $β$ -ensembles and the Gauss-Wigner crossover