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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Random Fields on the Sphere - Representation, Limit Theorems and Cosmological Applications (Paperback, New)
Loot Price: R2,220
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Random Fields on the Sphere - Representation, Limit Theorems and Cosmological Applications (Paperback, New)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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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 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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