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cond-mat.stat-mech2006★ 44 cited
Kleinberg Navigation in Fractal Small World Networks
Mickey R. Roberson, Daniel ben-Avraham
We study the Kleinberg problem of navigation in Small World networks when the underlying lattice is a fractal consisting of N>>1 nodes. Our extensive numerical simulations confirm…
cond-mat.stat-mech2003★ 44 cited
Self-Similarity in Random Collision Processes
Daniel ben-Avraham, Eli Ben-Naim, Katja Lindenberg +1
Kinetics of collision processes with linear mixing rules are investigated analytically. The velocity distribution becomes self-similar in the long time limit and the similarity fun…