INVESTIGADORES
PANZONE Pablo Andres
artículos
Título:
SEPARATION PROPERTIES FOR ITERATED FUNCTION SYSTEMS OF BOUNDED DISTORTION
Autor/es:
MARIANO FERRARI AND PABLO PANZONE
Revista:
FRACTALS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Año: 2011
ISSN:
0218-348X
Resumen:
In this paper we study a general separation property for sub-systems G, whose attractor KG is a sub-self-similar set. This is a generaliza-tion of the Lau-Ngai weak separation property for the bounded distortioncase. For subsystems with positive Hausdor measure in its similarity di-mension, we characterize the subsets of KG with positive measure wherethe separation property may fail. We exhibit two examples of fractal sets.One such that do not satisfy the weak separation property and whose ex-istence was questioned by Zerner. The other one such that have positiveHausdor measure in its similarity dimension an the separation propertyfails in a subset of positive measure.
