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Advances in Fractal Geometry and Applications
This special issue belongs to the section “E2: Control Theory and Mechanics“.
Special Issue Information
Dear Colleagues,
Presently, fractal geometry is widely used to model complex structures in systems with very different natures. Fractal geometry provides a quantitative description of complex patterns in real-world systems. The aim of this Special Issue is to survey recent developments and applications of the fractal geometry tools.
We look forward to receiving technical notes, full-length research articles, and review papers from different disciplines. Potential topics include, but are not limited to, the following:
- Foundations and methods of fractal geometry;
- Characterization of real-world fractals;
- Fractal continuum models;
- Physical phenomena in fractal systems;
- Fractal approaches in material science;
- Fractal tools for medical diagnostics;
- Fractal mathematics in econophysics;
- Fractal concepts in sociophysics.
Prof. Dr. Alexander S. Balankin
Prof. Dr. Didier Samayoa Ochoa
Guest Editors
Manuscript Submission Information
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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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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
- scale invariance
- self-similarity
- self-affinity
- multi-fractality
- persistent homology
- conformal invariance
- noncommutativity
- fractal topology
- embedding
- fractal measure
- fractal metric
- effective degrees of freedom
- lacunarity
- fractal topography
- fractal metrology
- calculus on fractals
- fractal continuum
- metamaterials
- anomalous diffusion
- time series
- fractional dimensional space
- fractal continuum
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Published Papers
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