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...
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| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2003-03, Vol.67 (3 Pt 2), p.037103-037103, Article 037103 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1539-3755 1063-651X 1095-3787 |
| DOI: | 10.1103/PhysRevE.67.037103 |