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RENYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS
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DOI：10.1142/S0218348X13500096.png)
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Abstract
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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 Renyi function for infinite products of homogeneous isotropic random fields on R-n; in particular for random fields on the sphere in R-3. 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.
Keywords:
Renyi Function
Infinite Products
Random Fields
Multifractality
Singularity Spectrum
Log-Normal Scenario
Log-Gamma Scenario
Log-Negative-Inverted-Gamma Scenario
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