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Random fields on the sphere : representation, limit theorems and cosmological applications
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| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Random fields on the sphere : representation, limit theorems and cosmological applications / Domenico Marinucci,... Giovanni Peccati,... |
| Publié : |
Cambridge (UK), New York :
Cambridge University Press
, cop. 2011 |
| Description matérielle : | 1 vol. (IX-341 p.) |
| Collection : | London Mathematical Society lecture note series ; 389 |
| Sujets : |
- Introduction
- Background results in representation theory
- Representations of SO(3) and harmonic analysis on S2
- Background results in probability and graphical methods
- Spectral representations
- Characterizations of isotropy
- Limit theorems for Gaussian subordinated random fields
- Asymptotics for the sample power spectrum
- Asymptotics for sample bispectra
- Spherical needlets and their asymptotic properties
- Needlets estimation of power spectrum and bispectrum
- Spin random fields
- Appendix
- Bibliography
- Index