Artículo
Gradual doubling property of Hutchinson orbits
Fecha de publicación:
11/2015
Editorial:
Springer Heidelberg
Revista:
Czechoslovak Mathematical Journal
ISSN:
0011-4642
e-ISSN:
1572-9141
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The classical self-similar fractals can be obtained as xed points of the iteration technique introduced by Hutchinson. The well known results of Mosco show that typically the limit fractal equipped with the invariant measure is a (normal) space of homogeneous type. But the doubling property along this iteration is generally not preserved even when the starting point, and of course the limit point, have both the doubling property. We prove that the elements of Hutchinson orbits satisfy the doubling property except perhaps for radii which decrease to zero as the step of the iteration grows, and in this sense, we say that the doubling property of the limit is achieved gradually. We use this result to prove the uniform upper doubling property of the orbits.
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Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Aimar, Hugo Alejandro; Carena, Marilina; Iaffei, Bibiana Raquel; Gradual doubling property of Hutchinson orbits; Springer Heidelberg; Czechoslovak Mathematical Journal; 65; 1; 11-2015; 191-205
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