Fractal (or transfractal) features are common in real-life networks and are known to in uence the dynamic processes taking place in the network itself. Here we consider a class of scale-free deterministic networks, called (u; v)-owers, whose topological properties can be controlled by tuning the parameters u and v; in particular, for u > 1, they are fractals endowed with a fractal dimension df , while for u = 1, they are transfractal endowed with a transfractal dimension ~ df . In this work we investigate dynamic processes (i.e., random walks) and topological properties (i.e., the Laplacian spectrum) and we show that, under proper conditions, the same scalings (ruled by the related dimensions), emerge for both fractal and transfractal.
Scaling laws for diffusion on (trans)fractal scale-free networks / Peng, Junhao; Agliari, Elena. - In: CHAOS. - ISSN 1054-1500. - STAMPA. - 27:8(2017), p. 083108. [10.1063/1.4997761]
Scaling laws for diffusion on (trans)fractal scale-free networks
AGLIARI, ELENA
2017
Abstract
Fractal (or transfractal) features are common in real-life networks and are known to in uence the dynamic processes taking place in the network itself. Here we consider a class of scale-free deterministic networks, called (u; v)-owers, whose topological properties can be controlled by tuning the parameters u and v; in particular, for u > 1, they are fractals endowed with a fractal dimension df , while for u = 1, they are transfractal endowed with a transfractal dimension ~ df . In this work we investigate dynamic processes (i.e., random walks) and topological properties (i.e., the Laplacian spectrum) and we show that, under proper conditions, the same scalings (ruled by the related dimensions), emerge for both fractal and transfractal.File | Dimensione | Formato | |
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