Lectures on
Probability and Stochastic Processes IX

Indian Statistical Institute, Kolkata
December 12 - 16, 2014

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

Anish Sarkar

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.