Bose-Einstein condensation in complex networks

Abstract

The evolution of many complex systems, including the world wide web, business and citation networks is encoded in the dynamic web describing the interactions between the system's constituents. Despite their irreversible and non-equilibrium nature these networks follow Bose statistics and can undergo Bose-Einstein condensation. Addressing the dynamical properties of these non-equilibrium systems within the framework of equilibrium quantum gases predicts that the 'first-mover-advantage', 'fit-get-rich' and 'winner-takes-all' phenomena observed in competitive systems are thermodynamically distinct phases of the underlying evolving networks.

References in corpus (4)

• Error and attack tolerance of complex networks
• Structure of Growing Networks: Exact Solution of the Barabasi--Albert's Model
• Topology of evolving networks: local events and universality
• Connectivity of Growing Random Networks

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