The singularity spectrum of some non-regularity moran fractals

Min Wu and JiaQing Xiao

Chaos, Solitons & Fractals, 2011, vol. 44, issue 7, 548-557

Abstract: In this paper, we shall study the multifractal decomposition behavior for a family of sets E known as Moran fractals. For each value of the parameter α∈(αmin,αmax), we define “multifractal components”Eα of E, and show that they are non-regularity fractals (in the sense of Taylor). By obtaining the new sufficient conditions for the valid multifractal formalisms of non-regularity Moran measures, we give explicit formula for the Hausdorff dimension and Packing dimension of Eα respectively. In particular, we describe a large class of non-regularity Moran measure satisfying the explicit formula.

Date: 2011
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:7:p:548-557

DOI: 10.1016/j.chaos.2011.05.002

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