20 citations · 55 across the 15 of their papers we have counts for
21 papers
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…
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…
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…
Extremal bounds for Dirichlet polynomials with random multiplicative coefficients
Jacques Benatar, Alon Nishry
For a Steinhaus random multiplicative function, we study the maximal size of the random Dirichlet polynomial wit…
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…
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…