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 the 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 was previously believed, and that a systematic redefinition of weighted properties is necessary.

Garlaschelli, D., & Loffredo, M.I. (2009). Generalized Bose Fermi statistics and structural correlations in weighted networks. PHYSICAL REVIEW LETTERS, 102(3) [10.1103/PhysRevLett.102.038701].

Generalized Bose Fermi statistics and structural correlations in weighted networks

LOFFREDO, MARIA IMMACOLATA
2009

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 the 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 was previously believed, and that a systematic redefinition of weighted properties is necessary.
Garlaschelli, D., & Loffredo, M.I. (2009). Generalized Bose Fermi statistics and structural correlations in weighted networks. PHYSICAL REVIEW LETTERS, 102(3) [10.1103/PhysRevLett.102.038701].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/2666
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