Random Complex Zeroes and Random Nodal Lines
Probability
2016-12-21 v1 Mathematical Physics
Complex Variables
math.MP
Abstract
In these notes, we describe the recent progress in understanding the zero sets of two remarkable Gaussian random functions: the Gaussian entire function with invariant distribution of zeroes with respect to isometries of the complex plane, and Gaussian spherical harmonics on the two-dimensional sphere.
Cite
@article{arxiv.1003.4237,
title = {Random Complex Zeroes and Random Nodal Lines},
author = {Fedor Nazarov and Mikhail Sodin},
journal= {arXiv preprint arXiv:1003.4237},
year = {2016}
}
Comments
33 pages, 8 figures