A multifractal scale-free lattice

G. Corso, J.E. Freitas and L.S. Lucena

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 214-220

Abstract: We study the distribution of number of neighbors, ζ, of a multifractal self-affine lattice, Qmf, defined by a single parameter ρ. ζ is neither a constant like in regular lattices nor follows a Gaussian distribution as in the Voronoi lattice. The histogram of ζ show exponential behavior for low ζ and power-law for high ζ. There is no trivial correlation between the distribution of ζ and the critical exponent related to the correlation length, ν, for percolation in the Qmf. The analysis of maximal ζ versus ρ makes evident the relationship between Qmf and the square lattice.

Keywords: Percolation; Complex networks; Multifractal; Universality class (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:214-220

DOI: 10.1016/j.physa.2004.04.081

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