Multifractal Measures on Small-World Networks
Statistical Mechanics
2007-05-23 v2
Abstract
We investigate the multifractals of the normalized first passage time on one-dimensional small-world network with both reflecting and absorbing barriers. The multifractals is estimated from the distribution of the normalized first passage time charactrized by the random walk on the small-world network with three fractions of edges rewired randomly. Particularly, our estimate is the fractal dimension D_0 = 0.917, 0.926, 0.930 for lattice points L = 80 and a randomly rewired fraction p = 0.2. The numerical result is found to disappear multifractal properties in the regime p> p_c, where p_c is the critical rewired fraction.
Keywords
Cite
@article{arxiv.cond-mat/0405100,
title = {Multifractal Measures on Small-World Networks},
author = {Kyungsik Kim and K. H. Chang and S. M. Yoon and C. Christopher Lee and J. S. Choi},
journal= {arXiv preprint arXiv:cond-mat/0405100},
year = {2007}
}
Comments
13 pages, 4 figures