عنوان

Random fields on the sphere :

Terms of Availability and/or Price

(pbk.)

Terms of Availability and/or Price

(pbk.)

(Number (ISBN

0521175615

(Number (ISBN

9780521175616

Number

dltt

Title Proper

Random fields on the sphere :

General Material Designation

[Book]

Other Title Information

representation, limit theorems and cosmological applications /

First Statement of Responsibility

Domenico Marinucci, Giovanni Peccati

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2011

Specific Material Designation and Extent of Item

ix, 341 p. :

Other Physical Details

ill. ;

Dimensions

23 cm

Series Title

London Mathematical Society lecture note series ;

Volume Designation

389

Text of Note

Includes bibliographical references (p. [326]-337) and index

Text of Note

Machine generated contents note: Preface; 1. Introduction; 2. Background results in representation theory; 3. Representations of SO(3) and harmonic analysis on S2; 4. Background results in probability and graphical methods; 5. Spectral representations; 6. Characterizations of isotropy; 7. Limit theorems for Gaussian subordinated random fields; 8. Asymptotics for the sample power spectrum; 9. Asymptotics for sample bispectra; 10. Spherical needlets and their asymptotic properties; 11. Needlets estimation of power spectrum and bispectrum; 12. Spin random fields; Appendix; Bibliography; Index

8

Text of Note

"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 representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets"--

Text of Note

"The purpose of this monograph is to discuss recent developments in the analysis of isotropic spherical random fields, with a view towards applications in Cosmology.We shall be concerned in particular with the interplay among three leading themes, namely: - the connection between isotropy, representation of compact groups and spectral analysis for random fields, including the characterization of polyspectra and their statistical estimation - the interplay between Gaussianity, Gaussian subordination, nonlinear statistics, and recent developments in the methods of moments and diagram formulae to establish weak convergence results - the various facets of high-resolution asymptotics, including the high-frequency behaviour of Gaussian subordinated random fields and asymptotic statistics in the high-frequency sense"--

Compact groups

Cosmology-- Statistical methods

Harmonic analysis

Limit theorems (Probability theory)

Random fields

Spherical harmonics

Class number

Book number

Marinucci, Domenico,1968-

Peccati, Giovanni,1975-

Date of Transaction

20111129101958.0

Electronic name

[Book]

Y