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math.PR2022
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\…
math.PR2022
Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities
Yacin Ameur, Felipe Marceca, José Luis Romero
The Gaussian -ensemble is a real -point configuration picked randomly with respect to the Boltzmann factor , $H_n=\sum_{i\ne j}\log\frac 1{|x_i…