Correlations between Maxwell's multipoles for gaussian random functions on the sphere
数学物理
2011-07-19 v2 天体物理学
math.MP
混沌动力学
摘要
Maxwell's multipoles are a natural geometric characterisation of real functions on the sphere (with fixed ). The correlations between multipoles for gaussian random functions are calculated, by mapping the spherical functions to random polynomials. In the limit of high the 2-point function tends to a form previously derived by Hannay in the analogous problem for the Majorana sphere. The application to the cosmic microwave background (CMB) is discussed.
引用
@article{arxiv.math-ph/0410004,
title = {Correlations between Maxwell's multipoles for gaussian random functions on the sphere},
author = {M. R. Dennis},
journal= {arXiv preprint arXiv:math-ph/0410004},
year = {2011}
}
备注
6 pages, 2 figures (revised version)