17 citations · 49 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Computability of the packing measure of totally disconnected self-similar sets
Marta Llorente, Manuel Morán
We present an algorithm to compute the exact value of the packing measure of self-similar sets satisfying the so called SSC and prove its convergence to the value of the packing me…