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A relative multifractal analysis

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  • Khelifi, Mounir
  • Lotfi, Hela
  • Samti, Amal
  • Selmi, Bilel

Abstract

In this paper, we introduce a general formalism for the multifractal analysis of one probability measure with respect to another. As examples, we analyze the multifractal structure of quasi-Bernoulli and homogeneous Moran measures.

Suggested Citation

  • Khelifi, Mounir & Lotfi, Hela & Samti, Amal & Selmi, Bilel, 2020. "A relative multifractal analysis," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920304884
    DOI: 10.1016/j.chaos.2020.110091
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    References listed on IDEAS

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    1. Li, Yueling & Dai, Chaoshou, 2006. "A multifractal formalism in a probability space," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 57-73.
    2. Wu, Min & Xiao, JiaQing, 2011. "The singularity spectrum of some non-regularity moran fractals," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 548-557.
    3. Li, Yueling & Dai, Chaoshou, 2007. "Multifractal dimension inequalities in a probability space," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 213-223.
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    Cited by:

    1. Attia, Najmeddine & Selmi, Bilel, 2023. "On the multifractal measures and dimensions of image measures on a class of Moran sets," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Achour, Rim & Li, Zhiming & Selmi, Bilel & Wang, Tingting, 2024. "A multifractal formalism for new general fractal measures," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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