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math.PR2025
Sampling properties of the zeroes of the Gaussian entire function
Jeremiah Buckley, Felipe Marceca, JoaquÃn Singer
We study sampling properties of the zero set of the Gaussian entire function on Fock spaces. Firstly, we relax Seip and Wallstén's density and separation conditions for sampling s…
math.PR2024
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…