A relative vectorial multifractal formalism

被引：5
|
作者：
Mahjoub, Amal [1 ]
Attia, Najmeddine [1 ]
机构：
[1] Univ Monastir, Fac Sci Monastir, Dept Math, Tunis 5000, Monastir, Tunisia
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 160卷
关键词：
Multifractal formalism; Hausdorff and packing measures; Hewitt-Stromberg measures; LARGE DEVIATIONS; TURBULENCE; HAUSDORFF; DIMENSION; SPECTRA;
D O I：
10.1016/j.chaos.2022.112221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Peyriere's vertorial multifractal formalism which is based on the Hausdorff and packing measures.Mathematics Subject Classification: 28A78, 28A80 (c) 2022 Elsevier Ltd. All rights reserved.
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页数：12
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