Temporal fractal structures: Origin of power-laws in the world-wide Web

Details Temporal fractal structures: Origin of power-laws in the world-wide Web Temporal fractal structures: Origin of power-laws in the world-wide Web

2001-12-04

arxiv.org/abs/cond-mat/0112047v1

Physica A, Vol. 314, pp. 278-283 (2002)

Physics

Condensed Matter

Statistical Mechanics

Revtex, Figures included

Scientific paper

10.1016/S0378-4371(02)01072-5

Using numerical simulations and scaling theory we study the dynamics of the world-wide Web from the growth rules recently proposed in Ref. [1] with appropriate parameters. We demonstrate that the emergence of power-law behavior of the out- and in-degree distributions in the Web involves occurrence of temporal fractal structures, that are manifested in the scale-free growth of the local connectivity and in first-return time statistics. We also show how the 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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