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An $\mathsf{\epsilon}$ -expansion for small-world networks

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  • M. Hastings

Abstract

I construct a well-defined expansion in $\epsilon=2-d$ for diffusion processes on small-world networks. The technique permits one to calculate the average over disorder of moments of the Green’s function, and is used to calculate the average Green’s function and fluctuations to first non-leading order in $\epsilon$ , giving results which agree with numerics. This technique is also applicable to other problems of diffusion in random media. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • M. Hastings, 2004. "An $\mathsf{\epsilon}$ -expansion for small-world networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 42(2), pages 297-301, November.
    • Handle: RePEc:spr:eurphb:v:42:y:2004:i:2:p:297-301
    DOI: 10.1140/epjb/e2004-00383-6
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