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

Autore: Domenico Marinucci; Giovanni Peccati
Editore: Cambridge, UK ; New York : Cambridge University Press, 2011.
Serie: London Mathematical Society lecture note series, 389.
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
"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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Genere/forma: Electronic books
Informazioni aggiuntive sul formato: Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: Domenico Marinucci; Giovanni Peccati
ISBN: 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
Numero OCLC: 768771958
Descrizione: 1 online resource (ix, 341 p.) : ill.
Contenuti: 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.
Titolo della serie: London Mathematical Society lecture note series, 389.
Responsabilità: Domenico Marinucci, Giovanni Peccati.
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Abstract:

Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.  Per saperne di più…

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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. Per saperne di più…

 
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