IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Doubling property on Hutchinson orbits of some families of contractive similitudes
Autor/es:
AIMAR HUGO, CARENA MARILINA, IAFFEI BIBIANA
Revista:
Cuadernos de Matemática y Mecánica
Referencias:
Año: 2008
Resumen:
We are interested in the behavior of the dynamical system generated by successive applications of Hutchinson similitudes starting from a metric measure space. We prove that, in the case of families of similitudes with the same contraction ratio, even when no point of the orbit is a doubling space, agradual doubling property is taking place and the limit point recovers the homogeneity property.