Journal of Statistical Physics

, Volume 149, Issue 5, pp 964–968 | Cite as

Rigorous Self-organised Criticality in the Modified Bak-Sneppen Model



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.


Bak-Sneppen model Self-organised criticality Avalanche Power law 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Department of MathematicsVU Universiteit AmsterdamAmsterdamThe Netherlands
  2. 2.Indian Statistical InstituteNew DelhiIndia

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