2 citations · 2 across the 3 of their papers we have counts for
4 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…
Local Laws and Fluctuations for Super-Coulombic Riesz Gases
Luke Peilen, Sylvia Serfaty
We study the local statistical behavior of the super-Coulombic Riesz gas of particles in Euclidean space of arbitrary dimension, with inverse power distance repulsion integrable ne…
On the Maximum of the Potential of a General Two-Dimensional Coulomb Gas
Luke Peilen
We determine the leading order of the maximum of the random potential associated to a two-dimensional Coulomb gas for general and general confinement potential, extending the r…
Local Laws and a Mesoscopic CLT for -ensembles
Luke Peilen
We study the statistical mechanics of the log-gas, or -ensemble, for general potential and inverse temperature. By means of a bootstrap procedure, we prove local laws on the nex…