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Please use this identifier to cite or link to this item: http://hdl.handle.net/2108/1102

Title: Needlet analysis of spherical random fields
Authors: Marinucci, Domenico
Xiaohong, Lan
Keywords: spherical random fields
wavelets
needlets
bispectrum
high frequency asymptotics
cosmic microwave background radiation
Issue Date: 3-Sep-2009
Abstract: This thesis is a collection of essays on spherical wavelets and their applications on statistical models. In particular, its aim is to investigate a form of second generation wavelets on the sphere called needlets, and their statistical applications to the analysis of isotropic spherical random fields. These methods are strongly motivated by many applications, especially from Cosmology and Astrophysics; in particular, the analysis of so-called Cosmic Microwave Background (CMB) radiation. Chapter 1 is to introduce the physical background and motivations of this thesis. We will emphasize on the nature of CMB, and the statistical challenges in this field. The concept of needlet is introduced in Chapter 2. This chapter is also preliminary to all the remaining work we have done. It includes the introduction of continuous and discrete spherical wavelets, isotropic spherical random fields, and the diagram formulae, i.e. the basic ingredients that will be needed in the following cha...
URI: http://hdl.handle.net/2108/1102
Appears in Collections:Tesi di dottorato in scienze matematiche e fisiche

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