Quantum statistics in complex networks

Abstract

In this work we discuss the symmetric construction of bosonic and fermionic networks and we present a case of a network showing a mixed quantum statistics. This model takes into account the different nature of nodes, described by a random parameter that we call energy, and includes rewiring of the links. The system described by the mixed statistics is an inhomogemeous system formed by two class of nodes. In fact there is a threshold energy ${\epsilon }_s$ such that nodes with lower energy $(\epsilon <{\epsilon }_s)$ increase their connectivity while nodes with higher energy $(\epsilon >{\epsilon }_s)$ decrease their connectivity in time.

5 pages, 2 figures

References in corpus (5)

• Statistical mechanics of complex networks
• Evolution of networks
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Statistical ensemble of scale-free random graphs
• Growing dynamics of Internet providers

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