Archivo Digital UPM: No conditions. Results ordered -Date Deposited. 2019-12-15T12:11:18ZEPrintshttp://oa.upm.es/style/images/logo-archivo-digital.pnghttp://oa.upm.es/2016-06-21T17:28:24Z2016-06-21T17:28:24Zhttp://oa.upm.es/id/eprint/40832This item is in the repository with the URL: http://oa.upm.es/id/eprint/408322016-06-21T17:28:24ZIntermittent pluri-sink model and the emergence of complex heterogeneity patterns: a simple paradigm for explaining complexity in soil chemical distributionsThe spatial complexity of the distribution of organic matter, chemicals, nutrients, pollutants has been demonstrated to have multifractal nature (Kravchenco et al. [1]). This fact supports the possibility of existence of some emergent heterogeneity structure built under the evolution of the system. The aim of this note is providing a consistent explanation to the mentioned results via an extremely simple model.Miguel Angel Martin MartinMiguel E. Reyes CastroFco. Javier Taguas Coejo2015-06-01T12:56:51Z2019-05-08T11:20:51Zhttp://oa.upm.es/id/eprint/35430This item is in the repository with the URL: http://oa.upm.es/id/eprint/354302015-06-01T12:56:51ZComputer simulation of the interplay between fractal structures and surrounding heterogeneous multifractal distributions. ApplicationsIn a large number of physical, biological and environmental processes interfaces with high irregular geometry appear separating media (phases) in which the heterogeneity of constituents is present. In this work the quantification of the interplay between irregular structures and surrounding heterogeneous distributions in the plane is made For a geometric set image and a mass distribution (measure) image supported in image, being image, the mass image gives account of the interplay between the geometric structure and the surrounding distribution. A computation method is developed for the estimation and corresponding scaling analysis of image, being image a fractal plane set of Minkowski dimension image and image a multifractal measure produced by random multiplicative cascades. The method is applied to natural and mathematical fractal structures in order to study the influence of both, the irregularity of the geometric structure and the heterogeneity of the distribution, in the scaling of image. Applications to the analysis and modeling of interplay of phases in environmental scenarios are given.Miguel Angel Martin MartinMiguel E. Reyes CastroFco. Javier Taguas Coejo2015-04-17T07:56:47Z2016-04-27T07:20:55Zhttp://oa.upm.es/id/eprint/26715This item is in the repository with the URL: http://oa.upm.es/id/eprint/267152015-04-17T07:56:47ZOn the generative equations of fractal self-similarity in granular media and the related PSD modelsThe physical appearance of granular media suggests the existence of geometrical scale invariance. The paper discuss how this physico-empirical property can be mathematically encoded leading to different generative models: a smooth one encoded by a differential equation and another encoded by an equation coming from a measure theoretical property.Miguel Ángel Martín MartínMiguel E. Reyes CastroFco. Javier Taguas Coejo