Concentration of the number of intersections of random eigenfunctions on flat tori
Probability
2020-08-11 v1
Abstract
We show that in two dimensional flat tori the number of intersections between random eigenfunctions of general eigenvalues and a given smooth curve is almost exponentially concentrated around its mean, even when the randomness is not gaussian.
Cite
@article{arxiv.2008.04111,
title = {Concentration of the number of intersections of random eigenfunctions on flat tori},
author = {Hoi H. Nguyen},
journal= {arXiv preprint arXiv:2008.04111},
year = {2020}
}
Comments
14 pages, comments are welcome. arXiv admin note: text overlap with arXiv:1912.12051