207 citations · 476 across the 17 of their papers we have counts for
18 papers
Robustness of Community Detection to Random Geometric Perturbations
Sandrine Peche, Vianney Perchet
We consider the stochastic block model where connection between vertices is perturbed by some latent (and unobserved) random geometric graph. The objective is to prove that spectra…
Eigenvalue distribution of nonlinear models of random matrices
Lucas Benigni, Sandrine Péché
This paper is concerned with the asymptotic empirical eigenvalue distribution of a non linear random matrix ensemble. More precisely we consider with $Y=f(WX)…
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 at the edges of the spectrum of the full rank deformed GUE
M. Capitaine, S. Péché
We consider a full rank deformation of the GUE where is a full rank Hermitian matrix of size and is a GUE. The empirical eigenvalue distribution …
A note on the second order universality at the edge of Coulomb gases on the plane
Djalil Chafaï, Sandrine Péché
We consider in this note a class of two-dimensional determinantal Coulomb gases confined by a radial external field. As the number of particles tends to infinity, their empirical d…
Localization and delocalization for heavy tailed band matrices
Florent Benaych-Georges, Sandrine Péché
We consider some random band matrices with band-width whose entries are independent random variables with distribution tail in . We consider the largest eigenvalues a…