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"The purpose of this monograph is to discuss recent developments in the analysis of isotropic spherical random fields, with a view towards applications in Cosmology.We shall be concerned in particular with the interplay among three leading themes, namely: - the connection between isotropy, representation of compact groups and spectral analysis for random fields, including the characterization of polyspectra and their statistical estimation - the interplay between Gaussianity, Gaussian subordination, nonlinear statistics, and recent developments in the methods of moments and diagram formulae to establish weak convergence results - the various facets of high-resolution asymptotics, including the high-frequency behaviour of Gaussian subordinated random fields and asymptotic statistics in the high-frequency sense"--
Spherical harmonics. --- Random fields. --- Compact groups. --- Cosmology --- Astronomy --- Deism --- Metaphysics --- Groups, Compact --- Locally compact groups --- Topological groups --- Fields, Random --- Stochastic processes --- Functions, Potential --- Potential functions --- Harmonic analysis --- Harmonic functions --- Statistical methods.
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This volume contains refereed research or review papers presented at the 6th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, in May 2008. The seminar focused mainly on stochastic partial differential equations, especially large deviations and control problems, on infinite dimensional analysis, particle systems and financial engineering, especially energy markets and climate models. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance. Contributors: S. Albeverio S. Ankirchner V. Bogachev R. Brummelhuis Z. Brzeźniak R. Carmona C. Ceci J.M. Corcuera A.B. Cruzeiro G. Da Prato M. Fehr D. Filipović B. Goldys M. Hairer E. Hausenblas F. Hubalek H. Hulley P. Imkeller A. Jakubowski A. Kohatsu-Higa A. Kovaleva E. Kyprianou C. Léonard J. Lörinczi A. Malyarenko B. Maslowski J.C. Mattingly S. Mazzucchi L. Overbeck E. Platen M. Röckner M. Romito T. Schmidt R. Sircar W. Stannat K.-T. Sturm A. Toussaint L. Vostrikova J. Woerner Y. Xiao J.-C. Zambrini.
Random fields -- Congresses. --- Random fields. --- Stochastic analysis -- Congresses. --- Stochastic analysis. --- Stochastic analysis --- Random fields --- Mathematics --- Distribution (Probability theory) --- Physical Sciences & Mathematics --- Mathematical Statistics --- Fields, Random --- Mathematics. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Stochastic processes --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk
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