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pro vyhledávání: '"Morán, Manuel"'
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 typical balls. We quantify the complexity of the local geometry of se
Externí odkaz:
http://arxiv.org/abs/2301.08338
We show that the centred Hausdorff measure, $C^{s}(S),$ with $s=\frac{\log3}{\log2},$ of the Sierpinski gasket $S$, is $C$-computable (continuous-computable), in the sense that its value is the solution of the minimisation problem of a continuous fun
Externí odkaz:
http://arxiv.org/abs/2301.08298
Publikováno v:
In Journal of Environmental Management 1 January 2024 349
Akademický článek
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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 disconnected self-similar set. We evaluate these rates empirically thro
Externí odkaz:
http://arxiv.org/abs/1602.03567
Autor:
Martínez-Navarro, Sofía M., de Iceta Soler, Xavier, Martínez-Martínez, Mónica, Olazábal-Morán, Manuel, Santos-Moriano, Paloma, Gómez, Sara
Publikováno v:
International Journal of Molecular Sciences; Sep2024, Vol. 25 Issue 17, p9553, 21p
Publikováno v:
In European Journal of Operational Research 1 March 2020 281(2):332-340
Autor:
Llorente, Marta, Morán, Manuel
Publikováno v:
Ergod. Th. Dynam. Sys. 36 (2016) 1534-1556
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 measure. We also test the algorithm with examples that show both, the ac
Externí odkaz:
http://arxiv.org/abs/1404.6920
Autor:
Vallejo-Díaz, Jesús, Chagoyen, Monica, Olazabal-Morán, Manuel, González-García, Ana, Carrera, Ana Clara
Publikováno v:
In Trends in Cancer April 2019 5(4):233-244
Autor:
Llorente, Marta, Morán, Manuel
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 test its utility on some examples.
Externí odkaz:
http://arxiv.org/abs/1107.3861