Renormalization Group Solution of the Chutes&Ladder Model
  We analyze a semi-infinite one-dimensional random walk process with a biased motion that is incremental in one direction and long-range in the other. On a network with a fixed hierarchy of long-range jumps, we find with exact renormalization group calculations that there is a dynamical transition between a localized adsorption phase and an anomalous diffusion phase in which the mean-square displacement exponent depends non-universally on the Bernoulli coin. We relate these results to similar findings of unconventional phase behavior in hierarchical networks. 
Lauren A. Ball, Alfred C. K. Farris, and Stefan Boettcher (Emory U)
cond-mat.stat-mech physics.soc-ph