RT Journal Article
T1 The centered hausdorff measure of the Sierpiński gasket
T2 La medida centrada del triángulo de Sierpinski
A1 Mera Rivas, María Eugenia
A1 Morán Cabré, Manuel
A1 Llorente Comi, Marta
AB We show that the centered Hausdorff measure, Cs(S),  with s=log3log2,  of the Sierpiński gasket S, is C-computable (continuous-computable), in the sense that its value is the solution of the minimization problem of a continuous function on a compact domain. We also show that Cs(S)  is A-computable (algorithmic-computable) in the sense that there is an algorithm that converges to Cs(S), with explicit error bounds. Using this algorithm we show that Cs(S)∼1.0049.
PB World Scientific
SN 0218-348X
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/94973
UL https://hdl.handle.net/20.500.14352/94973
LA eng
NO Llorente, Marta, María Eugenia Mera, y Manuel Morán. «THE CENTERED HAUSDORFF MEASURE OF THE SIERPIŃSKI GASKET». Fractals 31, n.o 09 (enero de 2023): 2350107. https://doi.org/10.1142/S0218348X23501074.
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 10 abr 2025