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