81 citations · 338 across the 34 of their papers we have counts for
4 papers · 1 filter
Improved discrepancy for the planar Coulomb gas at low temperatures
Felipe Marceca, José Luis Romero
We study the planar Coulomb gas in the regime where the inverse temperature grows at least logarithmically with respect to the number of particles (freezing regime, $β_n\…
Normality of smooth statistics for planar determinantal point processes
Antti Haimi, José Luis Romero
We consider smooth linear statistics of determinantal point processes on the complex plane, and their large scale asymptotics. We prove asymptotic normality in the finite variance…
Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge
Antti Haimi, Günther Koliander, José Luis Romero
We study Gaussian random functions on the complex plane whose stochastics are invariant under the Weyl-Heisenberg group (twisted stationarity). The theory is modeled on translation…
The planar low temperature Coulomb gas: separation and equidistribution
Yacin Ameur, José Luis Romero
We consider planar Coulomb systems consisting of a large number of repelling point charges in the low temperature regime, where the inverse temperature grows at least logar…