2 citations · 3 across the 7 of their papers we have counts for
8 papers
On the Wasserstein distance between a hyperuniform point process and its mean
Raphael Butez, Sandrine Dallaporta, David García-Zelada
We study the existence of bounds on the expected -Wasserstein distance between a random measure and its mean under the assumption that the -th centered moments of the countin…
Improving the quality control of seismic data through active learning
Mathieu Chambefort, Raphaël Butez, Emilie Chautru +1
In image denoising problems, the increasing density of available images makes an exhaustive visual inspection impossible and therefore automated methods based on machine-learning m…
Universality for outliers in weakly confined Coulomb-type systems
Raphael Butez, David García-Zelada, Alon Nishry +1
This work concerns weakly confined particle systems in the plane, characterized by a large number of outliers away from a droplet where the bulk of the particles accumulate in the…
A CLT for the characteristic polynomial of random Jacobi matrices, and the GE
Fanny Augeri, Raphael Butez, Ofer Zeitouni
We prove a central limit theorem for the logarithm of the characteristic polynomial of random Jacobi matrices. Our results cover the GE models for .
Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background
Raphael Butez, David García-Zelada
We study the outliers for two models which have an interesting connection. On the one hand, we study a specific class of planar Coulomb gases which are determinantal. It correspond…
The largest root of random Kac polynomials is heavy tailed
Raphaël Butez
We prove that the largest and smallest root in modulus of random Kac polynomials have a non-universal behavior. They do not converge towards the edge of the support of the limiting…
Large deviations principle for biorthogonal ensembles and variational formulation for the Dykema-Haagerup distribution
Raphael Butez
This note provides a large deviations principle for a class of biorthogonal ensembles. We extend the results of Eichelsbacher, Sommerauer and Stotlz to more general type of interac…
Large deviations for the empirical measure of random polynomials: revisit of the Zeitouni-Zelditch theorem
Raphael Butez
This article revisits the work by Ofer Zeitouni and Steve Zelditch on large deviations for the empirical measures of random orthogonal polynomials with i.i.d. Gaussian complex coef…