More than seventy years from a milestone in fractal geometry: Moran’s theorem

More than seventy years from a milestone in fractal geometry: Moran’s theorem

In this paper, we re-explore in detail the techniques employed in P. A. P. Moran’s original proof for a key result in fractal geometry allowing the calculation of the Hausdorff dimension of attractors of iterated function systems constructed by similitudes.

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2019-01, Vol.29 (1), p.013106-013106
Hauptverfasser: Fernández-Martínez, M., Guirao, Juan L. G., Rodríguez-Bermúdez, G.
Format: Artikel
Sprache:eng
Schlagworte:
Fractal geometry
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Zusammenfassung:In this paper, we re-explore in detail the techniques employed in P. A. P. Moran’s original proof for a key result in fractal geometry allowing the calculation of the Hausdorff dimension of attractors of iterated function systems constructed by similitudes.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.5079401