Energy landscapes, scale-free networks and Apollonian packings

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We review recent results on the topological properties of two spatial scale-free networks, the inherent structure and Apollonian networks. The similarities between these two types of network suggest an explanation for the scale-free character of the inherent structure networks. Namely, that the energy landscape can be viewed as a fractal packing of basins of attraction.
10 pages, 8 figures

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/118802

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0612150
 http://arxiv.org/abs/cond-mat/0612150
 In `Complexity, Metastability and Nonextensivity', ed. C. Beck, G. Benedek, A. Rapisarda and C. Tsallis (World Scientific, 2005), pp. 375-384

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arXiv