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

Tangent nodal sets for random spherical harmonics

Eswarathasan, Suresh 2019. Tangent nodal sets for random spherical harmonics. Presented at: CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, Montreal, Canada, 2016. Published in: Yaiza, Canzani, Linan, Chen and Dmitry, Jakobson eds. Probabilistic Methods in Geometry, Topology and Spectral Theory (Contemporary Mathematics). American Mathematical Society, pp. 17-43. 10.1090/conm/739/14892
Item availability restricted.

This is the latest version of this item.

[img] PDF - Accepted Post-Print Version
Restricted to Repository staff only

Download (366kB)

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: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: American Mathematical Society
ISBN: 9781470441456
Date of First Compliant Deposit: 31 December 2018
Date of Acceptance: 11 December 2018
Last Modified: 20 May 2020 12:09
URI: http://orca.cf.ac.uk/id/eprint/117912

Available Versions of this Item

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics