Random fields on the sphere : representation, limit theorems, and cosmological applications / Domenico Marinucci, Giovanni Peccati.

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"Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for th...

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Bibliographic Details
Main Author: Marinucci, Domenico, 1968-
Other Authors: Peccati, Giovanni, 1975-
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2011.
Series:London Mathematical Society lecture note series ; 389.
Subjects:
Spherical harmonics.
Random fields.
Compact groups.
Cosmology > Statistical methods.
Physical Description:ix, 341 pages : illustrations ; 23 cm.
Format: Book
Contents:
  • Machine generated contents note: Preface; 1. Introduction; 2. Background results in representation theory; 3. Representations of SO(3) and harmonic analysis on S2; 4. Background results in probability and graphical methods; 5. Spectral representations; 6. Characterizations of isotropy; 7. Limit theorems for Gaussian subordinated random fields; 8. Asymptotics for the sample power spectrum; 9. Asymptotics for sample bispectra; 10. Spherical needlets and their asymptotic properties; 11. Needlets estimation of power spectrum and bispectrum; 12. Spin random fields; Appendix; Bibliography; Index.