Generating pre-fractals to approach real IFS-attractors with a fixed Hausdorff dimension

DOI10.3934/dcdss.2015.8.1129zbMath1334.28018OpenAlexW2527530155MaRDI QIDQ258574

Miguel Ángel López Guerrero, Manuel Fernández-Martínez

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.1129

zbMATH Keywords

Hausdorff dimensioniterated function systemfractalIFS-attractor

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80)

Related Items (1)

A survey on fractal dimension for fractal structures

Cites Work

• Fractal dimension for fractal structures
• Fractal dimension for fractal structures: A Hausdorff approach
• A new approach to metrization
• How to calculate the Hausdorff dimension using fractal structures
• A characterization of self-similar symbolic spaces
• Fractal dimension for fractal structures: a Hausdorff approach revisited
• Fractal dimension for fractal structures: applications to the domain of words
• Separation Properties for Self-Similar Sets
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Completion of hyperspaces of compact subsets and topological completion of open-closed maps
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