Fluctuations of the Euler-Poincar\'e characteristic for random spherical harmonics
Probability
2018-01-09 v1 Mathematical Physics
math.MP
Abstract
In this short note, we build upon some recent results to present a precise expression for the asymptotic variance of the Euler-Poincar\'e characteristic for the excursion sets of Gaussian eigenfunctions on .
Keywords
Cite
@article{arxiv.1504.01868,
title = {Fluctuations of the Euler-Poincar\'e characteristic for random spherical harmonics},
author = {Valentina Cammarota and Domenico Marinucci and Igor Wigman},
journal= {arXiv preprint arXiv:1504.01868},
year = {2018}
}