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

Martin Martin, Miguel Angel and Reyes Castro, Miguel E. and 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.

Description

Title: Computer simulation of the interplay between fractal structures and surrounding heterogeneous multifractal distributions. Applications
Author/s:
  • Martin Martin, Miguel Angel
  • Reyes Castro, Miguel E.
  • Taguas Coejo, Fco. Javier
Item Type: Article
Título de Revista/Publicación: Mathematics And Computers in Simulation
Date: December 2014
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainAGL2011-25175.UnspecifiedUnspecifiedUnspecified

More information

Item ID: 35430
DC Identifier: http://oa.upm.es/35430/
OAI Identifier: oai:oa.upm.es:35430
DOI: 10.1016/j.matcom.2014.11.017
Official URL: http://www.sciencedirect.com/science/article/pii/S0378475414003164
Deposited by: Memoria Investigacion
Deposited on: 01 Jun 2015 12:56
Last Modified: 08 May 2019 11:20
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