Erdos-Renyi random graphs + forest fires = self-organized criticality
Balazs Rath, Budapest University of Technology
Balint Toth, Budapest University of Technology
Abstract
We modify the usual Erdos-Renyi random graph evolution by letting
connected clusters 'burn down' (i.e. fall apart to disconnected single
sites) due to a Poisson flow of lightnings. In a range of the
intensity of rate of lightnings the system sticks to a permanent.
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