Mesoscopics and fluctuations in networks

S. N. Dorogovtsev and A. N. Samukhin
Phys. Rev. E 67, 037103 – Published 26 March 2003
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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)1/N (N is the total number of vertices in a network), and are important in networks with fat-tailed degree distributions.

  • Received 24 November 2002

DOI:https://doi.org/10.1103/PhysRevE.67.037103

©2003 American Physical Society

Authors & Affiliations

S. N. Dorogovtsev* and A. N. Samukhin

  • A.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia
  • Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

  • *Electronic address: sdorogov@fc.up.pt
  • Electronic address: samukhin@fc.up.pt

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Vol. 67, Iss. 3 — March 2003

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