2 citations · 2 across the 4 of their papers we have counts for
7 papers · 1 filter
From Berry-Esseen to super-exponential
Klara Courteaut, Kurt Johansson, Gaultier Lambert
For any integer , where can depend on , we study the rate of convergence of to its limiting Gaussian as for or…
Precise deviations for disk counting statistics of invariant determinantal processes
Marcel Fenzl, Gaultier Lambert
We consider two-dimensional determinantal processes which are rotation-invariant and study the fluctuations of the number of points in disks. Based on the theory of mod-phi converg…
Multivariate normal approximation for traces of random unitary matrices
Kurt Johansson, Gaultier Lambert
In this article, we obtain a super-exponential rate of convergence in total variation between the traces of the first powers of an random unitary matrices and a $2m…
Poisson statistics for Gibbs measures at high temperature
Gaultier Lambert
We consider a gas of N particles with a general two-body interaction and confined by an external potential in the mean field or high temperature regime, that is when the inverse te…
CLT for Circular beta-Ensembles at High Temperature
Adrien Hardy, Gaultier Lambert
We consider the macroscopic large N limit of the Circular beta-Ensemble at high temperature, and its weighted version as well, in the regime where the inverse temperature scales as…
How much can the eigenvalues of a random Hermitian matrix fluctuate?
Tom Claeys, Benjamin Fahs, Gaultier Lambert +1
The goal of this article is to study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations -- or in other words, to investigate o…