Mesoscopics and fluctuations in networks.
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) less, similar 1/N (N is the total number of vertices in a network), and are important in networks with fat-tailed degree distributions.
Dorogovtsev
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A.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia. sdorogov@fc.up.pt
Samukhin
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