eBook - PDF

Random Fields on the Sphere

Name: Random Fields on the Sphere
ISBN: 9781139119658

Representation, Limit Theorems and Cosmological Applications

Domenico Marinucci,

Giovanni Peccati,

English
PDF
Available on iOS & Android

eBook - PDF

Random Fields on the Sphere

Representation, Limit Theorems and Cosmological Applications

Domenico Marinucci,

Giovanni Peccati,

About this book

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.

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Yes, you can access Random Fields on the Sphere by Domenico Marinucci,Giovanni Peccati in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.