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Carte Random Fields on the Sphere Domenico Marinucci

Random Fields on the Sphere

Representation, Limit Theorems and Cosmological Applications

Autor: Domenico Marinucci
Limbă: engleză
Legare: Carte broșată
Editura: Cambridge University Press
Disponibilitate: În depozitul extern
Expediem în 9-15 zile
573.69 lei
Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields....

Informații despre carte

Autor
Domenico Marinucci
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2011
Pagini
356
EAN
9780521175616
ISBN
0521175615
Enbook ID
04385268
Editura
Cambridge University Press
Greutate
532
Dimensiuni
155 x 226 x 18

Descriere completă

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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