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math.DS2023★ 3 cited
Local Geometry of Self-similar Sets: Typical Balls, Tangent Measures and Asymptotic Spectra
Manuel Morán, Marta LLorente, María Eugenia
We analyse the local geometric structure of self-similar sets with open set condition through the study of the properties of a distinguished family of spherical neighbourhoods, the…
math.DS2023★ 1 cited
On the Centred Hausdorff Measure of the Sierpinski Gasket
Marta LLorente, María Eugenia Mera, Manuel Morán
We show that the centred Hausdorff measure, with of the Sierpinski gasket , is -computable (continuous-computable), in the sense that its…