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

ผู้แต่ง: Domenico Marinucci; Giovanni Peccati
สำนักพิมพ์: Cambridge, UK ; New York : Cambridge University Press, 2011.
ชุด: London Mathematical Society lecture note series, 389.
ครั้งที่พิมพ์/รูปแบบ:   หนังสืออีเล็กทรอนิกส์ : เอกสาร : ภาษาอังกฤษดูครั้งที่พิมพ์และรูปแบบ
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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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รูปแบบทางกายภาพเพิ่มเติม Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
ขนิดวัสดุ: เอกสาร, ทรัพยากรอินแทอร์เน็ต
ประเภทของเอกสาร: แหล่งข้อมูลอินเทอร์เน็ต, ไฟล์คอมพิวเตอร์
ผู้แต่งทั้งหมด : ผู้แต่งร่วม Domenico Marinucci; Giovanni Peccati
ISBN: 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
OCLC Number: 768771958
คำอธิบาย: 1 online resource (ix, 341 p.) : ill.
สารบัญ: 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.
ชื่อชุด: London Mathematical Society lecture note series, 389.
ความรับผิดชอบ: 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.  อ่านมากขึ้น…

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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. อ่านมากขึ้น…

 
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