On toral eigenfunctions and the random wave model
Number Theory
2013-03-13 v1
Abstract
The purpose of this Note is to provide a deterministic implementation of the random wave model for the number of nodal domains in the context of the two-dimensional torus. The approach is based on recent work due to Nazarov and Sodin and arithmetical properties of lattice points on circles.
Cite
@article{arxiv.1303.2881,
title = {On toral eigenfunctions and the random wave model},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1303.2881},
year = {2013}
}
Comments
17 pages