Fig. 9

Possible origin of the power law for large systems. a Actual distribution of eigenvalues ${\lambda }_i$ (black crosses) along with fitted distribution (blue dots). b Actual distribution of constants $e_i$ (black crosses) along with fitted distribution (blue dots). c Exact distribution of avalanche sizes (black crosses) along with distribution resulting from fitted distributions of ${\lambda }_i$ and $e_i$ (blue dots). All plots are for a network of size $N=800$ operating at criticality