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Long-range connections and mixed diffusion in fractional networks

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  • Rui Vilela Mendes
  • Tanya Araujo

Abstract

Networks with long-range connections obeying a distance-dependent power law of sufficiently small exponent display superdiffusion, Levy flights and robustness properties very different from the scale-free networks. It has been proposed that these networks, found both in society and biology, be classified as a new structure, the fractional networks. Particular important examples are the social networks and the modular hierarchical brain networks where both short and long-range connections are present. The anomalous superdiffusive and the mixed diffusion behavior of these networks is studied here as well as its relation to the nature and density of the long-range connections.

Suggested Citation

  • Rui Vilela Mendes & Tanya Araujo, 2022. "Long-range connections and mixed diffusion in fractional networks," Working Papers Department of Economics 2022/01, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    • Handle: RePEc:ise:isegwp:wp012022
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    1. Matsuzawa, Ryo & Tanimoto, Jun & Fukuda, Eriko, 2017. "Properties of a new small-world network with spatially biased random shortcuts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 408-415.
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