Simple unified view of branching process statistics: Random walks in balanced logarithmic potentials
Simple unified view of branching process statistics: Random walks in balanced logarithmic potentials
We revisit the problem of deriving the mean-field values of avalanche exponents in systems with absorbing states. These are well known to coincide with those of unbiased branching processes. Here we show that for at least four different universality classes (directed percolation, dynamical percolation, the voter model or compact directed …