34 citations · 120 across the 21 of their papers we have counts for
28 papers
Mesoscopic transition for -ensembles at intermediary temperature
Charlie Dworaczek Guera, Gaultier Lambert, Luke Peilen
This paper establishes a mesoscopic central limit theorem for linear statistics of -ensembles or log-gas, as the dimension , in the temperature regime $1/N\llβ(N)\le…
Bulk asymptotics of the Gaussian -ensemble characteristic polynomial
Gaultier Lambert, Elliot Paquette
The Gaussian -ensemble (GE) is a fundamental model in random matrix theory. In this paper, we provide a comprehensive asymptotic description of the characteristic polynomial…
Fluctuations of two-dimensional determinantal processes associated with Berezin--Toeplitz operators
Alix Deleporte, Gaultier Lambert
We consider a new class of determinantal point processes in the complex plane coming from the ground state of free fermions associated with Berezin--Toeplitz operators. These proce…
Subcritical multiplicative chaos and the characteristic polynomial of the CE
Gaultier Lambert, Joseph Najnudel
The goal of this article is to expand on the relationship between random matrix and multiplicative chaos theories using the integrability properties of the circular beta-ensembles.…
Widom's conjecture: variance asymptotics and entropy bounds for counting statistics of free fermions
Alix Deleporte, Gaultier Lambert
We obtain a central limit theorem for bulk counting statistics of free fermions in smooth domains of with an explicit description of the covariance structure. This a…
Central limit theorem for smooth statistics of one-dimensional free fermions
Alix Deleporte, Gaultier Lambert
We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on , with a smooth confining potential. In the semiclass…