2026-06-08T02:40:07Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/952942025-08-28T14:46:27Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Mera Rivas, María Eugenia
author
Morán Cabré, Manuel
2024-01-25T09:27:16Z
2024-01-25T09:27:16Z
2023
Mera, M.E., Morán, M. Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket. Mediterr. J. Math. 20, 322 (2023). https://doi.org/10.1007/s00009-023-02528-6
1660-5446
10.1007/s00009-023-02528-6
https://hdl.handle.net/20.500.14352/95294
1660-5454
https://www.doi.org/10.1007/s00009-023-02528-6
We compute the centred Hausdorff measure, Cs(P) ∼ 2.44, and the packing measure, Ps(P) ∼ 6.77, of the penta-Sierpinski gasket, P, with explicit error bounds. We also compute the full spectra of asymptotic spherical densities of these measures in P, which, in contrast with that of the Sierpinski gasket, consists of a unique interval. These results allow us to compute the irregularity index of P, I(P) ∼ 0.6398, which we define for any self-similar set E with open set condition as I(E) = 1 − (Cs(E)/Ps(E)) .
eng
Attribution-NonCommercial-NoDerivatives 4.0 International
Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket
journal article
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File
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cca9c52e940ac6fee138bbd37ce0e00a
1385061
application/pdf
Irregularity_Index.pdf