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math.PR2021★ 5 cited
Gaussian complex zeroes are not always normal: limit theorems on the disc
Jeremiah Buckley, Alon Nishry
We study the zeroes of a family of random holomorphic functions on the unit disc, distinguished by their invariance with respect to the hyperbolic geometry. Our main finding is a t…
math.PR2021
Universality for outliers in weakly confined Coulomb-type systems
Raphael Butez, David García-Zelada, Alon Nishry +1
This work concerns weakly confined particle systems in the plane, characterized by a large number of outliers away from a droplet where the bulk of the particles accumulate in the…