Multifractals on small-world networks

作者:Kim Kyungsik*; Chang K H; Ha Deock Ho
来源:International Journal of Modern Physics B, 2007, 21(23-24): 4059-4063.
DOI:10.1142/S0217979207045207

摘要

We investigate the multifractals of the first passage time on a one-dimensional small-world network with reflecting and absorbing barriers. We analyze numerically the distribution of the first passage time at which the random walker arrives for the first time at an absorbing barrier after starting from an arbitrary initial site. Our simulation is found to estimate the fractal dimension D-0 = 0.920 similar to 0.930 for the different network sizes and random rewiring fractions. In particular, our simulation results are compared with the numerical computations for regular networks.

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