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Lévy strategies in intermittent search processes are advantageous
Open accessAbstract
Intermittent search processes switch between local Brownian search events and ballistic relocation phases. We demonstrate analytically and numerically in one dimension that when relocation times are Lévy distributed, resulting in a Lévy walk dynamics, the search process significantly outperforms the previously investigated case of exponentially distributed relocation times: The resulting Lévy walks reduce oversampling and thus further optimize the intermittent search strategy in the critical situation of rare targets. We also show that a searching agent that uses the Lévy strategy is much less sensitive to the target density, which would require considerably less adaptation by the searcher.
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Cited by
Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E. (2014) · Phys. Chem. Chem. Phys. · doi:10.1039/c4cp03465a · Cited by 1,765
Self-citationScaling laws in cognitive sciences
Kello, C. T., Brown, G. D. A., Ferrer-i-Cancho, R., Holden, J. G., Linkenkaer-Hansen, K., Rhodes, T., & Van Orden, G. C. (2010) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2010.02.005 · Cited by 384
Metadata
- Authors
- Lomholt, M. A., Tal, K., Metzler, R., & Joseph, K.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2008-08-12
- Volume
- 105
- Issue
- 32
- Pages
- 11055-11059
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2005114838
- Cited by
- 281
- References
- 0
- FWCI
- 6.58
- Type
- journal article
- Language
- en
- Open access
- green
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- Lomholt, M. A., Tal, K., Metzler, R., & Joseph, K. (2008). Lévy strategies in intermittent search processes are advantageous. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0803117105
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