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when the probability of complete stopping approaches unity. In the convolu- tion method, the probability of ϵ > 1 is interpreted as complete stopping, whereas in the branching algorithm the long path length case is just highly suppressed. In both cases we take into account the small finite probability that the fractional energy loss ϵ ≤ 0 due to fluctuations. 

To illustrate the difference in approach II, consider the case of power law 

