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A relative vectorial multifractal formalism

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  • Mahjoub, Amal
  • Attia, Najmeddine

Abstract

In this paper, we give a new vectorial multifractal formalism for which the classical multifractal formalism does not hold. We precisely introduce and study a vectorial multifractal formalism based on the Hewitt-Stromberg measures This formalism is parallel to Peyrière's vertorial multifractal formalism which is based on the Hausdorff and packing measures.

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  • Mahjoub, Amal & Attia, Najmeddine, 2022. "A relative vectorial multifractal formalism," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004313
    DOI: 10.1016/j.chaos.2022.112221
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    Cited by:

    1. Najmeddine Attia & Bilel Selmi, 2023. "On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets," Mathematics, MDPI, vol. 11(6), pages 1-14, March.

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