A multifractal formalism in a probability space

Yueling Li and Chaoshou Dai

Chaos, Solitons & Fractals, 2006, vol. 27, issue 1, 57-73

Abstract: In this paper, we mainly research a multifractal formalism in a probability space.The first objective of this paper is to define a multifractal generalisation of the Hausdorff measure and the packing measure. We explore the properties of the multifractal Hausdorff measure and the multifractal packing measure in a probability space, and invesigate the relative results of multifractal spectra functions in a probability space. We also describe a sufficient condion and a necessary one of validity for the multifractal formalism in a probability space.

Date: 2006
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:1:p:57-73

DOI: 10.1016/j.chaos.2004.11.088

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