Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Tangent nodal sets for random spherical harmonics

Eswarathasan, Suresh 2018. Tangent nodal sets for random spherical harmonics. arXiv , arXiv:1809.01595.

WarningThere is a more recent version of this item available.
PDF - Submitted Pre-Print Version
Download (368kB) | Preview


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: Article
Date Type: Submission
Status: Unpublished
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Cornell University
Last Modified: 10 Mar 2020 19:24

Available Versions of this Item

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics