We estimate the upper and lower bounds of the Hewitt–Stromberg dimensions. In particular,
these results give new proofs of theorems on the multifractal formalism which is based on …

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 …

Recently, air pollution such as the respirable particulate PM 10 results in negative impact on
human health. We study the non-linear cross-correlations between respiratory diseases and …

Fractals in analysis, geometry, and generally in science are nowadays very popular
concepts. The appearance of such concepts in science is due essentially to Mandelbrot by …

The multifractal formalism for vector-valued measures holds when-ever the existence of
corresponding Gibbs-like measures, supported on the singularities sets holds. We tried …

The multifractal formalism for measures in its original formulation is checked for special
classes of measures, such as, doubling, self-similar, and Gibbs-like ones. Out of these …

The multifractal analysis is concerned with the description of irregular measures and
functions when the classical analysis does not work. The main goal is the establishment of a …

There are only two kinds of measures in which the mixed multifractal formalism applies,
which are self-similar and self-conformal measures. This paper studies the validity and non …

为解析长株潭地区PM2: 5 演化的多尺度特征, 阐释其演化的主要动力机制,
提出了一种集合经验模态分解(EEMD) 和多重分形消除趋势波动分析(MFDFA) 的新模型 …

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 …