ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES

In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets K(α, β) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid multifractal formalisms of such measures and disc...

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Veröffentlicht in:	Issues of analysis 2023-02, Vol.30 (1), p.46-71
Hauptverfasser:	Selmi, B., Svetova, N. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	fractal/multifractal dimensions moran sets nonregular moran measures
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets K(α, β) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid multifractal formalisms of such measures and discuss examples.
ISSN:	2306-3432 2306-3424 2306-3432
DOI:	10.15393/j3.art.2023.12310