3 papers
math.NT2025
Integer-valued polynomials satisfying growth constraints
Avner Kiro, Alon Nishry
We consider polynomials which take integer values on the integers (IVPs), and satisfy an additional growth condition on the natural numbers. Elkies and Speyer, answering a question…
math.PR2025
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…
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…