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math.PR2018
Rigidity for zero sets of Gaussian entire functions
Avner Kiro, Alon Nishry
In this note we consider a certain class of Gaussian entire functions, characterized by some asymptotic properties of their covariance kernels, which we call admissible (as defined…
math.PR2018
Point processes, hole events, and large deviations: random complex zeros and Coulomb gases
Subhro Ghosh, Alon Nishry
We consider particle systems (also known as point processes) on the line and in the plane, and are particularly interested in "hole" events, when there are no particles in a large…