2 citations · 2 across the 5 of their papers we have counts for
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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…
Mesoscopic central limit theorem for the circular beta-ensembles and applications
Gaultier Lambert
We give a simple proof of a central limit theorem for linear statistics of the Circular beta-ensembles which is valid at almost arbitrary mesoscopic scale and for functions of clas…