ArticleProceedings of the National Academy of Sciences of the United States of America2020
Functional advantages of Lévy walks emerging near a critical point.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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13 citing papers in PubMed, 40 citations in OpenAlex.
- Physical crowding truncates intrinsic Lévy-like motility into caste-specific movement regimes in social termites.Movement ecology · 2026Article
- Socioeconomic Gauging of Brown and Levy Power Motions.Entropy (Basel, Switzerland) · 2026Article
- Brown and Levy Steady-State Motions.Entropy (Basel, Switzerland) · 2025Article
- Levy Noise Affects Ornstein-Uhlenbeck Memory.Entropy (Basel, Switzerland) · 2025Article
- Article
- A guide to area-restricted search: a foundational foraging behaviour.Biological reviews of the Cambridge Philosophical Society · 2022Review
- Living on fire: Deactivating fire coral polyps for larval settlement and symbiosis in the fire coral-associated barnacleEcology and evolution · 2022Article
- Intrinsic bursts facilitate learning of Lévy flight movements in recurrent neural network models.Scientific reports · 2022Article
- Imaging and characterization of transitions in biofilm morphology via anomalous diffusion following environmental perturbation.Biomedical optics express · 2022Article
- Mechanisms of Variability Underlying Odor-Guided Locomotion.Frontiers in behavioral neuroscience · 2022Review
- Synchronized attachment and the Darwinian evolution of coronaviruses CoV-1 and CoV-2.Physica A · 2021Article
- Weierstrassian Lévy walks are a by-product of crawling.The European physical journal. E, Soft matter · 2021Article
- Lévy walk dynamics explain gamma burst patterns in primate cerebral cortex.Communications biology · 2021Article
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Authors and funding
1 author at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A special class of random walks, so-called Lévy walks, has been observed in a variety of organisms ranging from cells, insects, fishes, and birds to mammals, including humans. Although their prevalence is considered to be a consequence of natural selection for higher search efficiency, some findings suggest that Lévy walks might also be epiphenomena that arise from interactions with the environment. Therefore, why they are common in biological movements remains an open question. Based on some evidence that Lévy walks are spontaneously generated in the brain and the fact that power-law distributions in Lévy walks can emerge at a critical point, we hypothesized that the advantages of Lévy walks might be enhanced by criticality. However, the functional advantages of Lévy walks are poorly understood. Here, we modeled nonlinear systems for the generation of locomotion and showed that Lévy walks emerging near a critical point had optimal dynamic ranges for coding information. This discovery suggested that Lévy walks could change movement trajectories based on the magnitude of environmental stimuli. We then showed that the high flexibility of Lévy walks enabled switching exploitation/exploration based on the nature of external cues. Finally, we analyzed the movement trajectories of freely moving
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