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Hausdorff dimensions of random net fractals

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  • Liang, Jin-Rong
  • Ren, Fu-Yao

Abstract

This paper studies the Hausdorff dimensions of random non-self-similar fractals. Here, we obtain the Hausdorff dimensional estimates of random net fractals generated by random contractions (including random transformation contraction and random ratio contraction). In addition, we give the definition of a random cookie-cutter set in and obtain its dimension formula.

Suggested Citation

  • Liang, Jin-Rong & Ren, Fu-Yao, 1998. "Hausdorff dimensions of random net fractals," Stochastic Processes and their Applications, Elsevier, vol. 74(2), pages 235-250, June.
    • Handle: RePEc:eee:spapps:v:74:y:1998:i:2:p:235-250
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    References listed on IDEAS

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    1. Giona, Massimiliano & Eduardo Roman, H., 1992. "Fractional diffusion equation for transport phenomena in random media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 87-97.
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    Cited by:

    1. Liang, Jin-Rong, 2002. "Random Markov-self-similar measures," Stochastic Processes and their Applications, Elsevier, vol. 98(1), pages 113-130, March.

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