Multifractal Measures on Small-World Networks
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2004
- DOI:
- 10.48550/arXiv.cond-mat/0405100
- arXiv:
- arXiv:cond-mat/0405100
- Bibcode:
- 2004cond.mat..5100K
- Keywords:
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- Statistical Mechanics
- E-Print:
- 13 pages, 4 figures