Long-range connections and mixed diffusion in fractional networks

R. Vilela Mendes and Tanya Araújo

No 2022/0223, Working Papers REM from ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa

Abstract: Networks with long-range connections, obeying a distance-dependent power law of sufficiently small exponent, display superdiffusion, L´evy flights and robustness properties very different from the scale-free networks. It has been proposed that these networks, found both in society and in 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.

Date: 2022-03
New Economics Papers: this item is included in nep-net and nep-ure
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Related works:
Working Paper: Long-range connections and mixed diffusion in fractional networks (2023)
Journal Article: Long-range connections and mixed diffusion in fractional networks (2022)
Working Paper: Long-range connections and mixed diffusion in fractional networks (2022)
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