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Growing Cayley trees described by Fermi distribution

Ginestra Bianconi
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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 $T\to 0$, $T\to \infty$ 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.

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Ginestra Bianconi. 2002-04-28. Growing Cayley trees described by Fermi distribution. https://doi.org/10.1103/physreve.66.036116

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