Multifractal lattice and group theory

G. Corso and L.S. Lucena

Physica A: Statistical Mechanics and its Applications, 2005, vol. 357, issue 1, 64-70

Abstract: The multifractal lattice Qmf is an object defined on a square using a section parameter ζ. Qmf has been used to study percolation in heterogeneous multifractal structures. In this work we use a group theory approach to explore mathematical properties of Qmf. The self-affine object Qmf is described by the combination of distinct discrete groups: the finite groups of rotation and inversion and the infinite groups of translation and dilation. We address the cell elements of the lattice Qmf using a Cayley tree. We determine the Cartesian coordinates of each cell using group properties in a recursive equation. The rich group structure of Qmf allows an infinite number of distinct tilling for a single ζ.

Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437105005005
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:357:y:2005:i:1:p:64-70

DOI: 10.1016/j.physa.2005.05.049

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().