Rényi function for multifractal random fields

Leonenko, Nikolai N. ORCID: https://orcid.org/0000-0003-1932-4091 and Shieh, N.-R. 2013. Rényi function for multifractal random fields. Fractals 21 (2) , 1350009. 10.1142/S0218348X13500096

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Rényi Function; Infinite Products; Random Fields; Multifractality; Singularity Spectrum; Log-Normal Scenario; Log-Gamma Scenario; Log-Negative-Inverted-Gamma Scenario
Publisher:	World Scientific Publishing
ISSN:	0218-348X
Last Modified:	25 Oct 2022 09:33
URI:	https://orca.cardiff.ac.uk/id/eprint/59089

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