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Growing Cayley trees described by Fermi distribution | | Ginestra Bianconi
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23 Apr 2002 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | We introduce a model for growing Cayley trees with thermal noise. The evolution of these hierarchical networks reduces to the Eden model and the Invasion Percolation model in the limit $T o 0$, $T o infty$ respectively. We show that the distribution of the bond strengths (energies) is described by the Fermi statistics. We discuss the relation of the present results with the scale-free networks described by Bose statistics. | | Source: | arXiv, cond-mat/0204506 | | Services: | Forum | Review | PDF | Favorites | |
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