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- Title
EVALUATION OF SOME CALCULATED PARTIAL MULTIFRACTAL SPECTRA.
- Authors
Huiping Chen; Xia Sun; Huixuan Chen; Ziqin Wu; Binghong Wang
- Abstract
Some parameters are introduced to evaluate the completeness of a partial multifractal spectrum with the shape of a bell or a hook, calculated using a statistical method due to a finite range of moment q. From the results of two kinds of Cantor sets, p/0/1-p and p/1-2p/p, and some examples of random fractals, it shows that the more homogeneous the probability distribution of the quantity studied is, the larger the range of q in the partial multifractal spectrum with the same evaluation parameters.
- Subjects
SPECTRUM analysis; MULTIFRACTALS; DIMENSION theory (Topology); TOPOLOGY; DISTRIBUTION (Probability theory); PROBABILITY theory; SET theory; STATISTICS
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2004, Vol 18, Issue 17-19, p2569
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979204025683