4 papers
On the Wasserstein distance between a hyperuniform point process and its mean
Raphael Butez, Sandrine Dallaporta, David GarcÃa-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…
On the spectral radius of the ratio of Girko matrices
Djalil Chafaï, David GarcÃa-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…
Singular central limit theorems for the spherical ensemble and beyond
Djalil Chafaï, David GarcÃa-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 GarcÃa-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…