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We consider a simple model of transport on a regular tree, whereby species evolve according to the drift-diffusion equation, and the drift velocity on each branch of the tree is a quenched random variable. The inverse of the steady-state amplitude at the origin is expressed in terms of a random geometric series whose convergence or otherwise determines whether the system is localized or delocalized. In a recent paper ͓P. C. Bressloff et al., Phys. Rev. Lett. 77, 5075 ͑1996͔͒, exact criteriadoi:10.1103/physreve.55.6765 fatcat:7gdmoc4e2zhkdmz26z5o7ttg5u