Computer simulation of the interplay between fractal structures and surrounding heterogeneous multifractal distributions. Applications

Martin Martin, Miguel Angel; Reyes Castro, Miguel E. y Taguas Coejo, Fco. Javier (2014). Computer simulation of the interplay between fractal structures and surrounding heterogeneous multifractal distributions. Applications. "Mathematics And Computers in Simulation" ; pp. 1-9. ISSN 0378-4754. https://doi.org/10.1016/j.matcom.2014.11.017..

Descripción

Título: Computer simulation of the interplay between fractal structures and surrounding heterogeneous multifractal distributions. Applications
Autor/es:
  • Martin Martin, Miguel Angel
  • Reyes Castro, Miguel E.
  • Taguas Coejo, Fco. Javier
Tipo de Documento: Artículo
Título de Revista/Publicación: Mathematics And Computers in Simulation
Fecha: Diciembre 2014
Materias:
Escuela: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Departamento: Matemática Aplicada
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In 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.

Más información

ID de Registro: 35430
Identificador DC: http://oa.upm.es/35430/
Identificador OAI: oai:oa.upm.es:35430
Identificador DOI: 10.1016/j.matcom.2014.11.017.
URL Oficial: http://www.sciencedirect.com/science/article/pii/S0378475414003164
Depositado por: Memoria Investigacion
Depositado el: 01 Jun 2015 12:56
Ultima Modificación: 31 Dic 2016 23:30
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