Correlations between Maxwell's multipoles for Gaussian random functions on the sphere
Correlations between Maxwell's multipoles for Gaussian random functions on the sphere
Maxwell's multipoles are a natural geometric characterization 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.
1653-1658
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
2005
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Dennis, M.R.
(2005)
Correlations between Maxwell's multipoles for Gaussian random functions on the sphere.
Journal of Physics A: Mathematical and General, 38 (8), .
(doi:10.1088/0305-4470/38/8/002).
Abstract
Maxwell's multipoles are a natural geometric characterization 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.
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Published date: 2005
Organisations:
Applied Mathematics
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Local EPrints ID: 29393
URI: http://eprints.soton.ac.uk/id/eprint/29393
ISSN: 0305-4470
PURE UUID: c571b3b7-f613-4de9-a293-c7feb6030bde
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Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:31
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M.R. Dennis
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