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Main Authors: Mendes, R. Vilela, Araújo, Tanya
Format: Preprint
Published: 2020
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Online Access:https://arxiv.org/abs/2002.04351
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author Mendes, R. Vilela
Araújo, Tanya
author_facet Mendes, R. Vilela
Araújo, Tanya
contents Networks with long-range connections obeying a distance-dependent power law of sufficiently small exponent display superdiffusion, Lévy 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.
format Preprint
id arxiv_https___arxiv_org_abs_2002_04351
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Long-range connections and mixed diffusion in fractional networks
Mendes, R. Vilela
Araújo, Tanya
Adaptation and Self-Organizing Systems
Networks with long-range connections obeying a distance-dependent power law of sufficiently small exponent display superdiffusion, Lévy 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.
title Long-range connections and mixed diffusion in fractional networks
topic Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2002.04351