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math.PR2008★ 32 cited
Mean field frozen percolation
Balazs Rath
We define a modification of the Erdos-Renyi random graph process which can be regarded as the mean field frozen percolation process. We describe the behavior of the process using d…
math.PR2008
Erdos-Renyi random graphs + forest fires = self-organized criticality
Balazs Rath, Balint Toth
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.…