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Fractal dimension and measure of the subset of Moran set

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Publication:602134
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DOI10.1016/j.chaos.2007.07.042zbMath1197.28002OpenAlexW2002273100MaRDI QIDQ602134

Meifeng Dai, Ying Jiang

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.07.042



Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)


Related Items

Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including \(A\)-coupled expanding systems ⋮ Quantization dimension for some Moran measures



Cites Work

  • Unnamed Item
  • Modular groups in Cantorian \(E^{(\infty)}\) high-energy physics.
  • The concepts of \(E\) infinity: an elementary introduction to the Cantorian-fractal theory of quantum physics
  • Dimensions of subsets of Cantor-type sets
  • A guide to the mathematics of \(E\)-infinity Cantorian spacetime theory
  • The equivalence of measures on Moran set in general metric space
  • The local dimension of Moran measures satisfying the strong separation condition
  • Packing Measure, and its Evaluation for a Brownian Path
  • Singularity of self-similar measures with respect to Hausdorff measures
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