Packing Measure and Dimension of Random Fractals

Artemi Berlinkov () and R. Daniel Mauldin ()
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Artemi Berlinkov: University of North Texas
R. Daniel Mauldin: University of North Texas

Journal of Theoretical Probability, 2002, vol. 15, issue 3, 695-713

Abstract: Abstract We consider random fractals generated by random recursive constructions. We prove that the box-counting and packing dimensions of these random fractals, K, equals α, their almost sure Hausdorff dimension. We show that some “almost deterministic” conditions known to ensure that the Hausdorff measure satisfies $$0

Keywords: Packing measure; box-counting dimension; random fractal; random strong open set condition (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1016271916074

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