# Growing Cayley trees described by Fermi distribution

Authors
Type
Preprint
Publication Date
Apr 28, 2002
Submission Date
Apr 23, 2002
Identifiers
DOI: 10.1103/PhysRevE.66.036116
arXiv ID: cond-mat/0204506
Source
arXiv
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.