Description

• Title:
  Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions
• Creator:
  Douzi, Zied;
  Selmi, Bilel
• Description:
  This study provides a general multifractal formalism that overcomes the limitations of the traditional one. The generic Hewitt-Stromberg measures are used to introduce and study a multifractal formalism. The generic Hewitt-Stromberg dimensions' upper and lower bounds are estimated, producing results even at places $q$ where the upper and lower multifractal Hewitt-Stromberg dimension functions diverge.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Zied Douzi, Bilel Selmi
• Date:
  2024.09.15
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 1 (September 2024); 107 - 149;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55206/39681 ;https://apcz.umk.pl/TMNA/article/view/55206/39682
• Subject:
  Multifractal analysis;
  classical multifractal formalism;
  Hewitt-Stromberg measures;
  general Hausdorff dimension;
  generalcpacking dimensionc;
  Primary: 28A20, 28A75, 28A78, 28A80;
  Secondary: 49Q15
• Identifier: https://apcz.umk.pl/TMNA/article/view/55206
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other