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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 1, Pages 46–71
DOI: https://doi.org/10.15393/j3.art.2023.12310 (Mi pa368) 		 
On the Mutual multifractal analysis for some non-regular Moran measures

B. Selmia, N. Yu. Svetovab

a Analysis, Probability and Fractals Laboratory LR18ES17, Faculty of sciences of Monastir, Department of mathematics, 5000-Monastir-Tunisia
b Petrozavodsk State University, 33 Lenina pr., Petrozavodsk 185910, Russia
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DOI: https://doi.org/10.15393/j3.art.2023.12310
Abstract: In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets $K(\alpha, \beta)$ 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.
Keywords: fractal/multifractal dimensions, Moran sets, non-regular Moran measures.
Funding agency Grant number
Analysis, Probability & Fractals Laboratory LR18ES17
The first author was supported by Analysis, Probability & Fractals Laboratory (No: LR18ES17).
Received: 04.09.2022
Revised: 10.12.2022
Accepted: 06.12.2022
Bibliographic databases:
Document Type: Article
UDC: 517.518.1
MSC: 28A20, 28A75, 28A78, 28A80, 49Q15
Language: English
Citation: B. Selmi, N. Yu. Svetova, “On the Mutual multifractal analysis for some non-regular Moran measures”, Probl. Anal. Issues Anal., 12(30):1 (2023), 46–71
Citation in format AMSBIB
\Bibitem{SelSve23}
\by B.~Selmi, N.~Yu.~Svetova
\paper On the Mutual multifractal analysis for some non-regular Moran measures
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 1
\pages 46--71
\mathnet{http://mi.mathnet.ru/pa368}
\crossref{https://doi.org/10.15393/j3.art.2023.12310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582292}
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