%0 Journal Article
%A Mera Rivas, María Eugenia
%A Morán Cabré, Manuel
%A Llorente Comi, Marta
%T The centered hausdorff measure of the Sierpiński gasket
%D 2023
%@ 0218-348X
%U https://hdl.handle.net/20.500.14352/94973
%X 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.
%~