RÉNYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS-Reference-Cited by-同舟云学术

RÉNYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS

Published:2013-06 Issue:02 Volume:21 Page:1350009
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

LEONENKO NIKOLAI N.¹,SHIEH NARN-RUEIH²

Affiliation:

1. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, UK

2. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, P. R. China

Abstract

This paper presents the basic scheme and the log-normal, log-gamma and log-negative-inverted-gamma scenarios to establish the Rényi function for infinite products of homogeneous isotropic random fields on Rn; in particular for random fields on the sphere in R3. The motivation of this paper is the test of (non-)Gaussianity on the Cosmic Microwave Background Radiation (CMBR) in Cosmology. In the presentation, we need to employ spherical harmonics for some concrete computations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X13500096

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