Multifractal Analysis and Complex Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Complexity".
Deadline for manuscript submissions: 28 February 2026 | Viewed by 6
Special Issue Editors
Interests: complex system modeling; soft and granular computing techniques with applications to artificial intelligence and natural language processing; green transition (smart grids); predictive maintenance; multifractal analysis and fractal-based methods
Interests: machine learning and pattern recognition in non-metric spaces; graph theory, large-scale, and distributed computing; applications to bioinformatics, NLP, and smart energy networks
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The aim of this Special Issue is to provide a forum for the latest research and advances in multifractal analysis and its applications to complex systems, including artificial intelligence and neural network models. Multifractal analysis has emerged as a powerful mathematical and computational framework to characterize scaling behaviors, hierarchical structures, and self-similar patterns in real-world phenomena. These methods are increasingly relevant for analyzing the internal dynamics, learning behaviors, and emergent complexity of AI systems.
We welcome original research and comprehensive reviews that address both theoretical developments and practical applications of multifractal analysis and affine methods. Topics of interest include, but are not limited to, new algorithms and models for multifractal analysis; multifractal properties in natural and engineered systems; connections with statistical physics, information theory, and network science; and innovative uses in smart grids, predictive maintenance, finance, climate modeling, biological systems, and artificial intelligence. In particular, we encourage contributions exploring how multifractal techniques can reveal hidden structures and behaviors in general complex systems and also in deep learning architectures, time series generated by AI agents, or complex data-driven systems.
This Special Issue aims to foster interdisciplinary collaboration and highlight emerging directions in the interplay between multifractality, complexity science, and artificial intelligence.
Dr. Enrico De Santis
Dr. Alessio Martino
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
- multifractal analysis
- fractal geometry
- self-affine systems
- complex systems
- scaling laws
- nonlinear dynamics
- neural networks
- network science
- applied mathematics
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