Mesoscopics and fluctuations in networks

Details Mesoscopics and fluctuations in networks Mesoscopics and fluctuations in networks

2002-11-24

arxiv.org/abs/cond-mat/0211518v1

Phys. Rev. E 67, 037103 (2003)

Physics

Condensed Matter

Statistical Mechanics

3 pages, 1 figure

Scientific paper

10.1103/PhysRevE.67.037103

We describe fluctuations in finite-size networks with a complex distribution of connections, $P(k)$. We show that the spectrum of fluctuations of the number of vertices with a given degree is Poissonian. These mesoscopic fluctuations are strong in the large-degree region, where $P(k) \lesssim 1/N$ ($N$ is the total number of vertices in a network), and are important in networks with fat-tailed degree distributions.

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