A survey on fractal dimension for fractal structures

DOI10.21042/AMNS.2016.2.00037zbMath1377.28005OpenAlexW2528720930MaRDI QIDQ4597669

Manuel Fernández-Martínez

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2016.2.00037

zbMATH Keywords

Hausdorff dimensionfractal dimensionfractalsfractal stochastic processesHurst exponentbox-counting dimensionfractal geometryfractal structuresapplications of fractal dimension

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (7)

Fractal dimension for IFS-attractors revisited ⋮ A Brief Discourse on Hausdorff Dimension and Self-similarity ⋮ DESIGN OF WIRELESS SENSOR NETWORK USING STATISTICAL FRACTAL MEASUREMENTS ⋮ ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES ⋮ Differential and integral operations in hidden spherical symmetry and the dimension of the Koch curve ⋮ More than seventy years from a milestone in fractal geometry: Moran’s theorem ⋮ A novel approach to improve the accuracy of the box dimension calculations: applications to trabecular bone quality

Cites Work

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