26 citations · 53 across the 12 of their papers we have counts for
12 papers · 1 filter
Singular central limit theorems for the spherical ensemble and beyond
Djalil Chafaï, David García-Zelada, Yuan Yuan Xu
We study the fluctuations of logarithmic Green singularities in the spherical ensemble, viewed as a random discretization of the two-sphere. Smooth observables exhibit the usual So…
A positive formula for volumes of moduli spaces of flat unitary connections on compact surfaces
Quentin François, David García-Zelada, Thierry Lévy +1
We provide a manifestly positive expression for the volume of the moduli spaces of flat -valued connections on punctured compact oriented surfaces. This volume is ob…
On the spectral radius of the ratio of Girko matrices
Djalil Chafaï, David García-Zelada, Yuan Yuan Xu
Girko matrices have independent and identically distributed entries of mean zero and unit variance. In this note, we consider the random matrix model formed by the ratio of two ind…
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…
Generalized transport inequalities and concentration bounds for Riesz-type gases
David García-Zelada, David Padilla-Garza
This paper explores the connection between a generalized Riesz electric energy and norms on the set of probability measures defined in terms of duality. We derive functional inequa…
Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles
Alexander I. Bufetov, David García-Zelada, Zhaofeng Lin
We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian a…
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…
Convergence of the spectral radius of a random matrix through its characteristic polynomial
Charles Bordenave, Djalil Chafaï, David García-Zelada
Consider a square random matrix with independent and identically distributed entries of mean zero and unit variance. We show that as the dimension tends to infinity, the spectral r…
At the edge of a one-dimensional jellium
Djalil Chafaï, David García-Zelada, Paul Jung
We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. Th…
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…
Concentration for Coulomb gases on compact manifolds
David García-Zelada
We study the non-asymptotic behavior of a Coulomb gas on a compact Riemannian manifold. This gas is a symmetric n-particle Gibbs measure associated to the two-body interaction ener…
A large deviation principle for empirical measures on Polish spaces: Application to singular Gibbs measures on manifolds
David García-Zelada
We prove a large deviation principle for a sequence of point processes defined by Gibbs probability measures on a Polish space. This is obtained as a consequence of a more general…