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Mesoscopics and fluctuations in networks

S. N. Dorogovtsev·A. N. Samukhin
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Abstract

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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S. N. Dorogovtsev, A. N. Samukhin. 2002-11-24. Mesoscopics and fluctuations in networks. https://doi.org/10.1103/physreve.67.037103

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