Zeros of a random analytic function approach perfect spacing under repeated differentiation
Probability
2014-09-30 v1 Complex Variables
Abstract
We consider an analytic function whose zero set forms a unit intensity Poisson process on the real line. We show that repeated differentiation causes the zero set to converge in distribution to a random translate of the integers.
Cite
@article{arxiv.1409.7956,
title = {Zeros of a random analytic function approach perfect spacing under repeated differentiation},
author = {Robin Pemantle and Sneha Subramanian},
journal= {arXiv preprint arXiv:1409.7956},
year = {2014}
}