Rigorous Self-organised Criticality in the Modified Bak-Sneppen Model
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We prove that a modified version of the Bak-Sneppen model obeys power law behaviour for avalanche duration and size. We do this through a coupling with a suitable branching process which is known to have power law behaviour at criticality.
KeywordsBak-Sneppen model Self-organised criticality Avalanche Power law
© Springer Science+Business Media New York 2012