Multifractals, Turbulence and Complexity in Geoscience and Space Science, 2nd Edition

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Complexity".

Deadline for manuscript submissions: 1 October 2025 | Viewed by 661

Special Issue Editors


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Department of Physics, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
Interests: information theory; time series analysis; solar wind-magnetosphere–ionosphere system; space weather

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Guest Editor
INAF-Istituto di Astrofisica e Planetologia Spaziali, 00133 Rome, Italy
Interests: solar physics; interplanetary physics; cosmic rays; complexity
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Guest Editor
Istituto Nazionale di Geofisica e Vulcanologia, Via di Vigna Murata 605, Rome, Italy
Interests: near-Earth electromagnetic environment (magnetosphere, ionosphere); extreme events in climate; sea level rise; turbulence in fluids and plasmas; theory of complex systems and chaos
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Special Issue Information

Dear Colleagues,

The great variety of physical processes observed in geoscience and space science presents a rich dynamic, originating from interactions between different components, scaling law behaviors, nonlinear phenomena, non-stationary forcings and geometrical constraints. This complexity appears via non-hyperbolic chaos, turbulence, multifractal features, randomness, self-organization, state-dependent persistence and predictability. Over the past few decades, nonlinear approaches to statistical mechanics and dynamical systems, which are nowadays frequently employed in both geoscience and space science, have rapidly developed in order to gain novel insights in these fields.

The focus of this Special Issue is to collate significant advances in topics related to multifractals, complexity and turbulence in geoscience and space science. Topics that are invited for submission include (but are not limited to) the following:

  • Conceptual and/or methodological approaches and methods for the characterization of multifractal features;
  • Turbulence and intermittency: from injection to dissipation in fluid and plasma flows;
  • Extreme events in geophysical and space sciences: the quantification of drivers, methods and impacts;
  • Out-of-equilibrium processes, self-organization and criticality in the Earth’s system and space environment;
  • Scaling law behavior, multiplicative cascades, and random multifractals;
  • Theoretical advancements, laboratory experiments and numerical methods in the field of multifractals and turbulence.

Feel free to read and download all our published articles in the 1st volume: https://www.mdpi.com/journal/fractalfract/special_issues/multifractal_turbul_complex

Dr. Mirko Stumpo
Dr. Simone Benella
Dr. Tommaso Alberti
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractals and multifractals
  • complexity and turbulence
  • extreme events
  • out of equilibrium
  • self-organization and criticality
  • multiplicative cascades and random multifractals
  • geoscience
  • space physics

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Published Papers (1 paper)

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Research

13 pages, 12996 KiB  
Article
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data
by Yujian Hou, Qiyun Jiang, Yan Qiao, Yunsheng Zhao and Zhanxiang He
Fractal Fract. 2025, 9(4), 240; https://doi.org/10.3390/fractalfract9040240 - 11 Apr 2025
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Abstract
The static shift effect is a distortion in electromagnetic data that severely impacts exploration results. Traditional static effect correction methods are often ineffective, prone to overcorrection or undercorrection, and make it difficult to accurately assess the applicability of the correction. Furthermore, some correction [...] Read more.
The static shift effect is a distortion in electromagnetic data that severely impacts exploration results. Traditional static effect correction methods are often ineffective, prone to overcorrection or undercorrection, and make it difficult to accurately assess the applicability of the correction. Furthermore, some correction processes require additional data, which increases correction costs. This paper first presents the theoretical foundation for correcting static shift effects in the electric field components using magnetic field component information. Based on time-frequency electromagnetic exploration technology, a method is proposed to correct static shift effects in the electric field by using simultaneously collected magnetic field data, aiming to address the distortion issues caused by static shift effects in the electric field and apparent resistivity. The method is validated through both theoretical models and field data, demonstrating its excellent correction performance. Additionally, the paper introduces the use of the multifractal spectrum analysis algorithm to analyze profile measurement points and study the fractal dimension characteristics of static shift effects, providing an effective way to evaluate the appropriateness and potential overcorrection of the correction. Finally, the multifractal features of field data are discussed, validating the ability of the multifractal spectrum to identify subsurface electrical complexity. Full article
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