We are interested in the preservation of doubling properties along the Hutchinson orbit generated by successive applications of contraction mappings on a metric measure space. We construct some elementary examples, built ...

In this note we obtain results regarding the preservation of homogeneity properties along the whole orbit of a given iterated function system (IFS). We have essentially two types of results. The first class of them contains ...

Let M n denote the Hardy-Littlewood maximal operator on the n-th iteration of a given iterated function system (IFS). We give sufficient conditions on the IFS in order to obtain a pointwise estimate for M n in terms of the ...

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 ...

A brief remark is made about Hutchinson´s paper et al (2012 E.J.P) about the ground configuration of the Helium atom and the importance of continuum states. The purpose of our comment is twofold: first, to indicate that ...

El trabajo de tesis se centra en obtener resultados analíticos y geométricos en contextos continuos (espacios de tipo homogéneo generales) a partir de situaciones discretas y aún finitas. Probamos que el tipo débil ...

Las necesidades de apropiación tecnológica y la estructuración de misiones espaciales en el contexto colombiano traen consigo la demanda de servicios y trabajos colaborativos y especializados, para los diferentes segmentos ...

This paper estimates the impact of rural roads on armed conflict and illicit crops in Colombia over a fourteen year period of rapid growth of road investments. We estimate the causal impact of these interventions using ...