Fluctuation-driven dynamics of the Internet topology

Details Fluctuation-driven dynamics of the Internet topology Fluctuation-driven dynamics of the Internet topology

2001-08-02

arxiv.org/abs/cond-mat/0108031v3

Phys. Rev. Lett. 88, 108701 (2002)

Physics

Condensed Matter

Statistical Mechanics

Final version appeared in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.88.108701

We study the dynamics of the Internet topology based on the empirical data on the level of the autonomous systems. It is found that the fluctuations occurring in the stochastic process of connecting and disconnecting edges are important features of the Internet dynamics. The network's overall growth can be described approximately by a single characteristic degree growth rate $g_{\rm eff} \approx 0.016$ and the fluctuation strength $\sigma_{\rm eff} \approx 0.14$, together with the vertex growth rate $\alpha \approx 0.029$. A stochastic model which incorporate these values and an adaptation rule newly introduced reproduces several features of the real Internet topology such as the correlations between the degrees of different vertices.

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