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The local dimension of Moran measures satisfying the strong separation condition

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  • Dai, Meifeng
  • Liu, Dehua

Abstract

In this paper, we investigate the local dimension of measures on a class of Moran sets. The measure, called Moran measure, is an extension of the self-similar measure. We give the exact formulae of the local dimension and the Hausdorff dimension of the Moran measure satisfying the strong separation condition.

Suggested Citation

  • Dai, Meifeng & Liu, Dehua, 2008. "The local dimension of Moran measures satisfying the strong separation condition," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1025-1030.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:1025-1030
    DOI: 10.1016/j.chaos.2007.02.013
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    2. Dai, Meifeng & Tian, Lixin, 2005. "The structure of a Cantor-like set with overlap," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 295-301.
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    Cited by:

    1. Dai, Meifeng & Jiang, Ying, 2009. "Fractal dimension and measure of the subset of Moran set," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 190-196.

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