Problemy Analiza — Issues of Analysis
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Anal. Issues Anal.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
Full-text PDF (1650 kB) Citations (1)
References:
PDF
HTML
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{https://mathscinet.ams.org/mathscinet-getitem?mr=4582292}
Linking options:
  • https://www.mathnet.ru/eng/pa368
  • https://www.mathnet.ru/eng/pa/v30/i1/p46
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025