Group representations and high-resolution central limit theorems for subordinated spherical random fields
نویسندگان
چکیده
منابع مشابه
Group Representations and High-Resolution Central Limit Theorems for Subordinated Spherical Random Fields
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide conditions for asymptotic Gaussianity and we establish a new connection with random walks on the hypergroup ŜO (3) (the dual of SO (3)), which mirrors analogous results previously established for fields de...
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2010
ISSN: 1350-7265
DOI: 10.3150/09-bej230