Random eigenfunctions on flat tori: universality for the number of intersections
Probability
2017-07-18 v1 Combinatorics
Number Theory
Abstract
We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues with a given smooth curve in flat tori are universal under various families of randomness.
Cite
@article{arxiv.1707.05255,
title = {Random eigenfunctions on flat tori: universality for the number of intersections},
author = {Mei-Chu Chang and Hoi Nguyen and Oanh Nguyen and Van Vu},
journal= {arXiv preprint arXiv:1707.05255},
year = {2017}
}