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

著者: Domenico Marinucci; Giovanni Peccati
出版商: Cambridge, UK ; New York : Cambridge University Press, 2011.
丛书: London Mathematical Society lecture note series, 389.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
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"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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类型/形式: Electronic books
附加的形体格式: Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Domenico Marinucci; Giovanni Peccati
ISBN: 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
OCLC号码: 768771958
描述: 1 online resource (ix, 341 p.) : ill.
内容: 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.
丛书名: London Mathematical Society lecture note series, 389.
责任: 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.  再读一些...

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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. 再读一些...

 
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