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Random fields on the sphere : representation, limit theorems and cosmological applications

Auteur : Domenico Marinucci; Giovanni Peccati
Éditeur : Cambridge, UK ; New York : Cambridge University Press, 2011.
Collection : London Mathematical Society lecture note series, 389.
Édition/format :   Livre électronique : Document : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
"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
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Genre/forme : Electronic books
Format – détails additionnels : Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
Type d’ouvrage : Document, Ressource Internet
Format : Ressource Internet, Fichier informatique
Tous les auteurs / collaborateurs : Domenico Marinucci; Giovanni Peccati
ISBN : 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
Numéro OCLC : 768771958
Description : 1 online resource (ix, 341 p.) : ill.
Contenu : 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.
Titre de collection : London Mathematical Society lecture note series, 389.
Responsabilité : Domenico Marinucci, Giovanni Peccati.
Plus d’informations :

Résumé :

Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.  Lire la suite...

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"The methods described in the book shed light on extremely important issues in astrophysics, cosmology, and fundamental physics. Most of the results of the book were first proved by the authors. Lire la suite...

 
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