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

著者: Domenico Marinucci; Giovanni Peccati
出版: Cambridge, UK ; New York : Cambridge University Press, 2011.
シリーズ: London Mathematical Society lecture note series, 389.
エディション/フォーマット:   電子書籍 : Document : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
"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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ジャンル/形式: Electronic books
その他のフォーマット: Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
資料の種類: Document, インターネット資料
ドキュメントの種類: インターネットリソース, コンピューターファイル
すべての著者/寄与者: Domenico Marinucci; Giovanni Peccati
ISBN: 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
OCLC No.: 768771958
物理形態: 1 online resource (ix, 341 p.) : ill.
コンテンツ: 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.
シリーズタイトル: London Mathematical Society lecture note series, 389.
責任者: Domenico Marinucci, Giovanni Peccati.
その他の情報:

概要:

Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.  続きを読む

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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. 続きを読む

 
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