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 Electronic Journal of Probability > Vol. 14 (2009) > Paper 45 open journal systems 


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.


Full text: PDF

Pages: 1290-1327

Published on: June 15, 2009
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Electronic Journal of Probability. ISSN: 1083-6489