Multifractal analysis of financial markets: A review

ZQ Jiang, WJ **e, WX Zhou… - Reports on Progress in …, 2019 - iopscience.iop.org
Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

The fractal dimension of complex networks: A review

T Wen, KH Cheong - Information Fusion, 2021 - Elsevier
The fractal property is one of the most important properties in complex networks. It describes
the power law relationship between characteristics of the box and the box size. There are …

Fractal and multifractal analysis: a review

R Lopes, N Betrouni - Medical image analysis, 2009 - Elsevier
Over the last years, fractal and multifractal geometries were applied extensively in many
medical signal (1D, 2D or 3D) analysis applications like pattern recognition, texture analysis …

Fractal structures in nonlinear dynamics

J Aguirre, RL Viana, MAF Sanjuán - Reviews of Modern Physics, 2009 - APS
In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

Fractals in the neurosciences, part II: clinical applications and future perspectives

A Di Ieva, FJ Esteban, F Grizzi… - The …, 2015 - journals.sagepub.com
It has been ascertained that the human brain is a complex system studied at multiple scales,
from neurons and microcircuits to macronetworks. The brain is characterized by a …

Characterization of egg white powder gel structure and its relationship with gel properties influenced by pretreatment with dry heat

Y Ma, A Shan, R Wang, Y Zhao, Y Chi - Food Hydrocolloids, 2021 - Elsevier
Egg white powder (EWP) is extensively used in many segments of the food industry, which is
capable of replacing traditional liquid egg materials. Dry heating plays an essential role in …

Multifractal analysis of human retinal vessels

T Stosic, BD Stosic - IEEE transactions on medical imaging, 2006 - ieeexplore.ieee.org
In this paper, it is shown that vascular structures of the human retina represent geometrical
multifractals, characterized by a hierarchy of exponents rather then a single fractal …

Bolt-looseness detection by a new percussion-based method using multifractal analysis and gradient boosting decision tree

F Wang, G Song - Structural Health Monitoring, 2020 - journals.sagepub.com
Among various building blocks, bolted connections are the most widely used components,
which can be employed to hold the integrity of entire structures. Looseness detection of …

Influence of DEM resolution on drainage network extraction: A multifractal analysis

AB Ariza-Villaverde, FJ Jiménez-Hornero, EG De Ravé - Geomorphology, 2015 - Elsevier
Different hydrological algorithms have been developed to automatically extract drainage
networks from digital elevation models (DEMs). D8 is the most widely used algorithm to …

Determination of fractal dimension of physiologically characterized neurons in two and three dimensions

F Caserta, WD Eldred, E Fernandez… - Journal of neuroscience …, 1995 - Elsevier
Although there is a growing interest in the application of fractal analysis in neurobiology,
questions about the methodology have restricted its wider application. In this report we …