Fractal sets determined by dilation-stable processes

Yanyan Hou, Jiangang Ying and Chaoshou Dai

Chaos, Solitons & Fractals, 2008, vol. 38, issue 3, 852-863

Abstract: Let X={X(t),t∈R+} be a dilation-stable process on Rd. We determine a Hausdorff measure function ϕ(a) such that the fractal set X[0,1]={X(t):0⩽t⩽1} has positive finite ϕ-measure. We also investigate the packing measure of X[0,1].

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:3:p:852-863

DOI: 10.1016/j.chaos.2007.01.040

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