Volume 389. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:9780521175616.

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Bibliographic Details

Title

Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (Volume 389)

Publisher

Cambridge University Press

Publication Date

2011

Language

English

ISBN 10

0521175615

ISBN 13

9780521175616

Binding

Soft cover

Condition

Good

Weight

650 grams

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Mathematics

About this title

Synopsis

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.

About the Authors

Domenico Marinucci is a Full Professor of Probability and Mathematical Statistics and Director of the Department of Mathematics at the University of Rome, 'Tor Vergata'. He is also a Core Team member for the ESA satellite experiment 'Planck'.

Giovanni Peccati is Full Professor in Stochastic Analysis at the University of Luxembourg.

"About this title" may belong to another edition of this title.

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