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math.PR2024
The image of random analytic functions: coverage of the complex plane via branching processes
Alon Nishry, Elliot Paquette
We consider the range of random analytic functions with finite radius of convergence. We show that any unbounded random Taylor series with rotationally invariant coefficients has d…
math.PR2024
Large charge fluctuations in the hierarchical Coulomb gas
Alon Nishry, Oren Yakir
The two-dimensional one-component plasma (OCP) is a model of electrically charged particles which are embedded in a uniform background of the opposite charge, and interact through…