Fluctuations of the total number of critical points of random spherical harmonics

Igor Wigman; Valentina Cammarota

doi:10.1016/j.spa.2017.02.013

King's College London

King's main site

Research portal

Fluctuations of the total number of critical points of random spherical harmonics

Research output: Contribution to journal › Article

Igor Wigman, Valentina Cammarota

Original language	English
Journal	Stochastic Processes and Their Applications
Early online date	23 Mar 2017
DOIs	https://doi.org/10.1016/j.spa.2017.02.013
Accepted/In press	23 Mar 2017
E-pub ahead of print	23 Mar 2017

Documents

Fluctuations of the total_CAMMAROTA_Accepted17February2017_GREEN AAM
Fluctuations_of_the_total_CAMMAROTA_Accepted17February2017_GREEN_AAM.pdf, 434 KB, application/pdf
Uploaded date:24 Mar 2017
Version:Accepted author manuscript
Licence:CC BY-NC-ND

King's Authors

Abstract

We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implications on the sophistication degree of an appropriate percolation process for modelling nodal domains of eigenfunctions on generic compact surfaces or billiards.

Download statistics

No data available

View graph of relations

King's College London - Homepage

Fluctuations of the total number of critical points of random spherical harmonics

Documents

Links

King's Authors

Abstract

Download statistics

By the same authors

With some of the same researchers

From the same journal