Mera Rivas, María EugeniaMorán Cabré, ManuelLlorente Comi, Marta2024-01-242024-01-242023Llorente, 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/S0218348X23501074.0218-348X10.1142/s0218348x23501074https://hdl.handle.net/20.500.14352/94973We 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.engjournal article1793-6543https://doi.org/10.1142/s0218348x23501074https://www.worldscientific.com/worldscinet/fractalsopen access5Sierpiński GasketHausdorff MeasuresDensity of MeasuresComputability of Fractal MeasuresCienciasMatemáticas (Matemáticas)Análisis matemáticoGeometríaAnálisis numérico12 Matemáticas1204 Geometría1202 Análisis y Análisis Funcional