Comment on "Localization Transition of Biased Random Walks on Random Networks"

Details Comment on "Localization Transition of Biased Random Walks on Random Networks" Comment on "Localization Transition of Biased Random Walks on Random Networks"

2007-11-12

arxiv.org/abs/0711.1798v1

Phys. Rev. Lett. 99, 209801 (2007)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.99.209801

Sood and Grassberger studied in [Phys. Rev. Lett. 99, 098701 (2007)] random walks on random graphs that are biased towards a fixed target point. They put forward a critical bias strength b_c such that a random walker on an infinite graph eventually reaches the target with probability 1 when b>b_c, while a finite fraction of walks drift off to infinity for b

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