Generalized Bose-Fermi statistics and structural correlations in weighted networks
Physics and Society
2009-01-23 v2 Statistical Mechanics
Data Analysis, Statistics and Probability
Quantum Physics
Abstract
We derive a class of generalized statistics, unifying the Bose and Fermi ones, that describe any system where the first-occupation energies or probabilities are different from subsequent ones, as in presence of thresholds, saturation, or aging. The statistics completely describe the structural correlations of weighted networks, which turn out to be stronger than expected and to determine significant topological biases. Our results show that the null behavior of weighted networks is different from what previously believed, and that a systematic redefinition of weighted properties is necessary.
Cite
@article{arxiv.0807.0927,
title = {Generalized Bose-Fermi statistics and structural correlations in weighted networks},
author = {Diego Garlaschelli and Maria I. Loffredo},
journal= {arXiv preprint arXiv:0807.0927},
year = {2009}
}
Comments
Final version accepted for publication on Physical Review Letters