162 citations · 1.3k across the 49 of their papers we have counts for
49 papers
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…
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 cutoff phenomenon for fast diffusion and porous medium equations
Djalil Chafaï, Max Fathi, Nikita Simonov
The cutoff phenomenon, conceptualized at the origin for finite Markov chains, states that for a parametric family of evolution equations, started from a point, the distance towards…
On cutoff via rigidity for high dimensional curved diffusions
Djalil Chafaï, Max Fathi
We consider overdamped Langevin diffusions in Euclidean space, with curvature equal to the spectral gap. This includes the Ornstein-Uhlenbeck process as well as non-Gaussian and no…
Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?
Djalil Chafaï, Ryan W. Matzke, Edward B. Saff +2
We consider Riesz energy problems with radial external fields. We study the question of whether or not the equilibrium is the uniform distribution on a sphere. We develop general n…
Monotonicity of the logarithmic energy for random matrices
Djalil Chafaï, Benjamin Dadoun, Pierre Youssef
It is well-known that the semi-circle law, which is the limiting distribution in the Wigner theorem, is the minimizer of the logarithmic energy penalized by the second moment. A ve…