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Rényi function for multifractal random fields

Leonenko, Nikolai N. ORCID: and Shieh, N.-R. 2013. Rényi function for multifractal random fields. Fractals 21 (2) , 1350009. 10.1142/S0218348X13500096

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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: 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

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