Multifractal dimension inequalities in a probability space

Yueling Li and Chaoshou Dai

Chaos, Solitons & Fractals, 2007, vol. 34, issue 2, 213-223

Abstract: Let ν be a probability measure on Ω. We define the upper and lower multifractal box dimension (the measure ν with respect to μ) on a probability space and investigate the relation between the multifractal box dimension and the multifractal Hausdorff dimension, the multifractal pre-packing dimension . Then, we generalize the dimension inequalities of multifractal Hausdorff measures and multifractal packing measures in a probability space.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:2:p:213-223

DOI: 10.1016/j.chaos.2006.04.066

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