Eswarathasan, Suresh
2018.
Tangent nodal sets for random spherical harmonics.
[Online].
arXiv.
Available at: https://arxiv.org/abs/1809.01595
|
There is a more recent version of this item available.
Preview |
PDF
- Submitted Pre-Print Version
Download (368kB) | Preview |
Official URL: https://arxiv.org/abs/1809.01595
Abstract
In this note, we consider a fixed vector field $V$ on $S^2$ and study the distribution of points which lie on the nodal set (of a random spherical harmonic) where $V$ is also tangent. We show that the expected value of the corresponding counting function is asymptotic to the eigenvalue with a leading coefficient that is independent of the vector field $V$. This demonstrates, in some form, a universality for vector fields up to lower order terms.
| Item Type: | Website Content |
|---|---|
| Date Type: | Submission |
| Status: | Unpublished |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | arXiv |
| Last Modified: | 19 Nov 2024 07:30 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/114680 |
Available Versions of this Item
- Tangent nodal sets for random spherical harmonics. (deposited 09 Oct 2018 11:15) [Currently Displayed]
Actions (repository staff only)
 |
Edit Item |
Download Statistics
Download Statistics