2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
On stability of outliers from the circular law
Guillaume Dubach, Aniss Fares, Lilou Thomas
This work investigates the stability of outliers from the circular law, via the convergence of their associated diagonal overlaps between eigenvectors - also known as the squared e…
On a random matrix proof of a bipartite Harer-Zagier formula
Guillaume Dubach, Hai An Mai
This work establishes a bipartite generalization of the Harer-Zagier formula using non-Hermitian Random Matrix Theory. More specifically, we use a decomposition of powers of Ginibr…
The delocalization of eigenvectors of real elliptic matrices
Lucas Benigni, Simon Coste, Guillaume Dubach
We investigate delocalization phenomena for eigenvectors of real random matrices that are invariant by orthogonal transformations. A specific phenomenon with these ensembles is tha…
Fisher-Hartwig asymptotics for non-Hermitian random matrices
Paul Bourgade, Guillaume Dubach, Lisa Hartung +1
We prove the two-dimensional analogue of the asymptotics for Toeplitz determinants with Fisher-Hartwig singularities, for general real symbols. This formula has applications to ran…
Symmetries of the Quaternionic Ginibre Ensemble
Guillaume Dubach
We establish a few properties of eigenvalues and eigenvectors of the quaternionic Ginibre ensemble (QGE), analogous to what is known in the complex Ginibre case. We first recover a…