Download e-book for kindle: Random Fields on the Sphere: Representation, Limit Theorems by Domenico Marinucci,Giovanni Peccati

By Domenico Marinucci,Giovanni Peccati

Random Fields at the Sphere offers a entire research of isotropic round random fields. the most emphasis is on instruments from harmonic research, starting with the illustration concept for the crowd of rotations SO(3). Many fresh advancements at the approach to moments and cumulants for the research of Gaussian subordinated fields are reviewed. This history fabric is used to examine spectral representations of isotropic round random fields after which to enquire intensive the homes of linked harmonic coefficients. houses and statistical estimation of angular energy spectra and polyspectra are addressed in complete. The authors are strongly encouraged by way of cosmological purposes, particularly the research of cosmic microwave history (CMB) radiation facts, which has initiated a difficult new box of mathematical and statistical learn. excellent for mathematicians and statisticians drawn to functions to cosmology, it is going to additionally curiosity cosmologists and mathematicians operating in staff representations, stochastic calculus and round wavelets.

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Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications (London Mathematical Society Lecture Note Series) by Domenico Marinucci,Giovanni Peccati


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