# Navigation by anomalous random walks on complex networks

@article{Weng2016NavigationBA, title={Navigation by anomalous random walks on complex networks}, author={Tongfeng Weng and Jie Zhang and Moein Khajehnejad and Michael Small and Rui Zheng and Pan Hui}, journal={Scientific Reports}, year={2016}, volume={6} }

Anomalous random walks having long-range jumps are a critical branch of dynamical processes on networks, which can model a number of search and transport processes. However, traditional measurements based on mean first passage time are not useful as they fail to characterize the cost associated with each jump. Here we introduce a new concept of mean first traverse distance (MFTD) to characterize anomalous random walks that represents the expected traverse distance taken by walkers searching…

## 15 Citations

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The recursive harmonic law unveils the underlying mechanism governing the search time when hunting for multiple moving targets on networks and is introduced to quantify the expected time a searcher takes to capture moving targets specified in advance.

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Considering the taxi trips as a proxy of human mobility in cities, it might be possible that the long-range mobility found for New York City would be a general feature in other large cities around the world.

### Long-range connections, real-world networks and rates of diffusion

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The evidence for long range connections in real world networks is reviewed and the nature of the nonlocal diffusion arising from different distance-dependent laws is discussed.

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