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Fractal properties of refined box dimension on functional graph

Meifeng Dai and Lixin Tian

Chaos, Solitons & Fractals, 2005, vol. 23, issue 4, 1371-1379

Abstract: Many fractals, which have theoretical and practical significance, take the form of functional graphs. For continuous functions whose graphs are fractal sets, their fractal characteristics are studied, and the relations between refined box dimensions of functional graphs before and after four arithmetic operations are discussed.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:4:p:1371-1379

DOI: 10.1016/j.chaos.2004.06.037

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