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…
Moments of polynomials with random multiplicative coefficients
Jacques Benatar, Alon Nishry, Brad Rodgers
For a Rademacher or Steinhaus random multiplicative function, we consider the random polynomials and show that the…
The forbidden region for random zeros: appearance of quadrature domains
Alon Nishry, Aron Wennman
Our main discovery is a surprising interplay between quadrature domains on the one hand, and the zero process of the Gaussian Entire Function (GEF) on the other. Specifically, cons…
Gaussian analytic functions of bounded mean oscillation
Alon Nishry, Elliot Paquette
We consider random analytic functions given by a Taylor series with independent, centered complex Gaussian coefficients. We give a new sufficient condition for such a function to h…
Fluctuations for Zeros of Gaussian Taylor Series
Avner Kiro, Alon Nishry
We study fluctuations in the number of zeros of random analytic functions given by a Taylor series whose coefficients are independent complex Gaussians. When the functions are enti…
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…
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…
Gaussian complex zeros on the hole event: the emergence of a forbidden region
Subhroshekhar Ghosh, Alon Nishry
We consider the Gaussian Entire Function (GEF) whose Taylor coefficients are independent complex-valued Gaussian variables, and the variance of the kth coefficient is 1/k!. This ra…
Hole probability for zeroes of Gaussian Taylor series with finite radii of convergence
Jeremiah Buckley, Alon Nishry, Ron Peled +1
We study a family of random Taylor series with radius of convergence almost surely and independent identically distributed complex Gaussian…
Distribution of zeroes of Rademacher Taylor series
Fedor Nazarov, Alon Nishry, Mikhail Sodin
We find the asymptotics of the counting function of zeroes of random entire functions represented by Rademacher Taylor series. We also give the asymptotics of the weighted counting…
Entire functions of exponential type represented by pseudo-random and random Taylor series
Alexander Borichev, Alon Nishry, Mikhail Sodin
We study the influence of the multipliers on the angular distribution of zeroes of the Taylor series \[ F_ξ(z) = \sum_{n\ge 0} ξ(n) \frac{z^n}{n!}\,. \] We show that the dis…
Topics in the Value Distribution of Random Analytic Functions
Alon Nishry
This thesis is concerned with the behavior of random analytic functions. In particular, we are interested in the value distribution of Taylor series with independent random coeffic…
Log-integrability of Rademacher Fourier series, with applications to random analytic functions
Fedor Nazarov, Alon Nishry, Mikhail Sodin
We prove that any power of the logarithm of Fourier series with random signs is integrable. This result has applications to the distribution of values of random Taylor series, one…
Hole Probability for Entire Functions represented by Gaussian Taylor Series
Alon Nishry
We study the hole probability of Gaussian entire functions. More specifically, we work with entire functions in Taylor series form with i.i.d complex Gaussian random variables and…
The Hole Probability for Gaussian Entire Functions
Alon Nishry
We study the hole probability of Gaussian random entire functions. More specifically, we work with entire functions in Taylor series form with i.i.d complex Gaussian coefficients.…
Asymptotics of The Hole Probability for Zeros of Random Entire Functions
Alon Nishry
We study the hole probability of Gaussian random entire functions. More specifically, we work with the flat model (the zero set of this function has a distribution which is invaria…