一种新均值测度的若干性质

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-09-08 DOI:10.1016/j.jmaa.2025.130051

Yu Liu , Bilel Selmi , Zhiming Li

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引用次数: 0

摘要

本文的目的是引入平均多重分形测度的概念，它是无限维空间RN上的类多重分形测度，也是相对于自然位移的类动态测度。我们首先关注具有有限均值多重分形测度集的存在性。然后探讨了有关平均多重分形测度密度的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some properties of a new mean measure

The aim of this paper is to introduce the concept of the mean multifractal measure, which is a multifractal-measure-like quantity on an infinite dimensional space

R^{N}

, and also a dynamical-like quantity with respect to the natural shift. We first focus on the existence of sets with finite mean multifractal measure. Then properties concerning the density of the mean multifractal measure are explored.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.