Random Fields on the Sphere - Representation, Limit Theorems and Cosmological Applications

Informationen zum Autor Domenico Marinucci is a Full Professor of Probability and Mathematical Statistics and Director of the Department of Mathematics at the University of Rome, 'Tor Vergata'. He is also a Core Team member for the ESA satellite experiment 'Planck'. Klappentext Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology. Zusammenfassung The authors present a comprehensive analysis of isotropic spherical random fields! with a view towards applications in cosmology. Any mathematician or statistician interested in these applications! especially the booming area of cosmic microwave background (CMB) radiation data analysis! will find the mathematical foundation they need in this book. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: D. Marinucci, Domenico Marinucci, Domenico (Universit... Degli Studi DI R Marinucci, Domenico (Universit... degli Studi di Roma 'Tor Vergata') Marinucci, Domenico (Universita Degli Studi DI Rom Marinucci, Domenico (Universita degli Studi di Roma 'Tor Vergata') Marinucci, Domenico Peccati Marinucci, MARINUCCI DOMENICO PECCATI GIOVA, Giovanni Peccati, Giovanni (Universite du Luxembourg) Peccati
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 25.08.2011
• EAN: 9780521175616
• ISBN: 978-0-521-17561-6
• Pagine: 356
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Lecture Note Series
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica