Articles liés à Random Fields on the Sphere: Representation, Limit...

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

Livre 320 sur 387: London Mathematical Society Lecture Notes

Marinucci, Domenico

 
9780521175616: Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications
Couverture souple
ISBN 10 : 0521175615 ISBN 13 : 9780521175616
Editeur : Cambridge University Press, 2011

Synopsis

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 the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos des auteurs

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'.

Giovanni Peccati is Full Professor in Stochastic Analysis at the University of Luxembourg.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
0521175615
ISBN 13 
9780521175616
Reliure
Broché
Nombre de pages
354
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France