Multifractal analysis of financial markets: A review

ZQ Jiang, WJ Xie, 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 …

Quantitating the subtleties of microglial morphology with fractal analysis

A Karperien, H Ahammer, HF Jelinek - Frontiers in cellular …, 2013 - frontiersin.org
It is well established that microglial form and function are inextricably linked. In recent years,
the traditional view that microglial form ranges between “ramified resting” and “activated …

Introduction to multifractal detrended fluctuation analysis in Matlab

EAF Ihlen - Frontiers in physiology, 2012 - frontiersin.org
Fractal structures are found in biomedical time series from a wide range of physiological
phenomena. The multifractal spectrum identifies the deviations in fractal structure within time …

Investigation on the pore structure and multifractal characteristics of tight oil reservoirs using NMR measurements: Permian Lucaogou Formation in Jimusaer Sag …

P Zhao, Z Wang, Z Sun, J Cai, L Wang - Marine and Petroleum Geology, 2017 - Elsevier
Pore structure is a critical parameter to estimate the reservoir quality and evaluate the
resource potential. However, the pore structure and heterogeneity of the unconventional …

Pore structure heterogeneity of Wufeng-Longmaxi shale, Sichuan Basin, China: Evidence from gas physisorption and multifractal geometries

Y Wang, H Cheng, Q Hu, L Liu, L Jia, S Gao… - Journal of Petroleum …, 2022 - Elsevier
Understanding the heterogeneity of the nanoscale pore structure is critical for assessment of
hydrocarbon flow and storage in porous reservoirs. Multifractal theory is a powerful method …

Mesoscopic-scale complexity in macroscopically-uniform plastic flow of an Al0. 3CoCrFeNi high-entropy alloy

J Brechtl, R Feng, PK Liaw, B Beausir, H Jaber… - Acta Materialia, 2023 - Elsevier
The concept of a smooth and homogeneous plastic flow of solids is nowadays constantly
challenged by various observations of the self-organization of crystal defects on mesoscopic …

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 …

Estimating fractal dimension

J Theiler - JOSA a, 1990 - opg.optica.org
Fractals arise from a variety of sources and have been observed in nature and on computer
screens. One of the exceptional characteristics of fractals is that they can be described by a …

The multifractal nature of turbulent energy dissipation

C Meneveau, KR Sreenivasan - Journal of Fluid Mechanics, 1991 - cambridge.org
The intermittency of the rate of turbulent energy dissipation ε is investigated experimentally,
with special emphasis on its scale-similar facets. This is done using a general formulation in …

Scaling theory of the integer quantum Hall effect

B Huckestein - Reviews of Modern Physics, 1995 - APS
The scaling theory of the transitions between plateaus of the Hall conductivity in the integer
quantum Hall effect is reviewed. In the model of two-dimensional noninteracting electrons in …