20 citations · 55 across the 15 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…