Using numerical simulations and scaling theory we study the dynamics of theworld-wide Web from the growth rules recently proposed in Ref. [1] withappropriate parameters. We demonstrate that the emergence of power-law behaviorof the out- and in-degree distributions in the Web involves occurrence oftemporal fractal structures, that are manifested in the scale-free growth ofthe local connectivity and in first-return time statistics. We also show howthe scale-free behavior occurs in the statistics of random walks on the Web,where the walkers use information on the local graph connectivity.
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