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

Autor: Domenico Marinucci; Giovanni Peccati
Editora: Cambridge, UK ; New York : Cambridge University Press, 2011.
Séries: London Mathematical Society lecture note series, 389.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
"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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Gênero/Forma: Electronic books
Formato Físico Adicional: Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Domenico Marinucci; Giovanni Peccati
ISBN: 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
Número OCLC: 768771958
Descrição: 1 online resource (ix, 341 p.) : ill.
Conteúdos: 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.
Título da Série: London Mathematical Society lecture note series, 389.
Responsabilidade: Domenico Marinucci, Giovanni Peccati.
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Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.  Ler mais...

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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. Ler mais...

 
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