6 citations · 10 across the 3 of their papers we have counts for
3 papers
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…
math.DS2016★ 6 cited
Rate of convergence: the packing and centered Hausdoff measures of totally disconnected self-similar sets
Marta Llorente, M. Eugenia Mera, Manuel Moran
In this paper we obtain the rates of convergence of the algorithms given in [13] and [14] for an automatic computation of the centered Hausdorff and packing measures of a totally d…