Generalized Bose-Fermi statistics and structural correlations in weighted networks

Details Generalized Bose-Fermi statistics and structural correlations in weighted networks Generalized Bose-Fermi statistics and structural correlations in weighted networks

2008-07-06

arxiv.org/abs/0807.0927v2

Phys. Rev. Lett. 102, 038701 (2009)

Physics

Physics and Society

Final version accepted for publication on Physical Review Letters

Scientific paper

10.1103/PhysRevLett.102.038701

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.

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