RT Journal Article
T1 Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket
T2 Indice de irregularidad y densidades esféricas de la penta alfombra de Sierpinski
A1 Mera Rivas, María Eugenia
A1 Morán Cabré, Manuel
AB 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)) .
PB Springer Nature
SN 1660-5446
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/95294
UL https://hdl.handle.net/20.500.14352/95294
LA eng
NO 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
NO Universidad Complutense de Madrid
NO Banco Santander
DS Docta Complutense
RD 6 abr 2025