Localization Transition of Biased Random Walks on Random Networks

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

2007-03-09

arxiv.org/abs/cond-mat/0703233v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, includes 4 figures

Scientific paper

10.1103/PhysRevLett.99.098701

We study random walks on large random graphs that are biased towards a randomly chosen but fixed target node. We show that a critical bias strength b_c exists such that most walks find the target within a finite time when b>b_c. For b

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