100 Chapter 4: Fluctuations in Jet Tomography Figure 4.4: Transverse coordinate ( x, 0) distribution of surviving p$_{T}$ = 15 GeV, Q = g, u, c, b jets moving in direction φ = 0 as indicated by the arrows. Units are arbitrary for illustration. The transverse (binary collision) distribution of initial jet production points, ρ$_{Jet}$ ( x, 0) , is shown at midrapidity for Au+Au collisions at b = 2 . 1 fm. The ratio ρ$_{Q}$/ρ$_{Jet}$ (see Eq.(4.8)) gives the local quenching factor including elastic and inelastic energy loss though the bulk QGP matter distributed as ρ$_{QGP}$ ( x, 0) . 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