Phys. Rev. E 67, 037103 (2003) [3 pages]Mesoscopics and fluctuations in networksReceived 24 November 2002; published 26 March 2003 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)≲1/N (N is the total number of vertices in a network), and are important in networks with fat-tailed degree distributions. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.037103
DOI:
10.1103/PhysRevE.67.037103
PACS:
05.10.-a, 05.40.-a, 05.50.+q, 87.18.Sn
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