17 citations · 49 across the 7 of their papers we have counts for
7 papers
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…
Collapse and recovery times in non-linear harvesting with demographic stochasticity
Sara Cuenda, Marta Llorente, José A. Capitán
Recent collapses of many fisheries across the globe have challenged the mathematical approach to these systems through classic bioeconomic models. Decimated populations did not rec…
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…
An algorithm for computing the centered Hausdorff measure of self-similar sets
Marta Llorente, Manuel Morán
We provide an algorithm for computing the centered Hausdorff measure of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and…
Lipschitz equivalence of subsets of self-conformal sets
Marta Llorente, Pertti Mattila
We give sufficient conditions to guarantee that if two self-conformal sets E and F have Lipschitz equivalent subsets of positive measure, then there is a bilipschitz map of E into,…