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56,906 results

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Page 1
One-dimensional Levy quasicrystal.
Chatterjee P, Modak R. Chatterjee P, et al. J Phys Condens Matter. 2023 Sep 22;35(50). doi: 10.1088/1361-648X/acf9d4. J Phys Condens Matter. 2023. PMID: 37708897
Space-fractional quantum mechanics (SFQM) is a generalization of the standard quantum mechanics when the Brownian trajectories in Feynman path integrals are replaced by Levy flights. We introduce Levy quasicrystal by discretizing the space-fractional Schrodinger equ …
Space-fractional quantum mechanics (SFQM) is a generalization of the standard quantum mechanics when the Brownian trajectories in Feynman pa …
Levy-walk-like Langevin dynamics with random parameters.
Chen Y, Wang X, Ge M. Chen Y, et al. Chaos. 2024 Jan 1;34(1):013109. doi: 10.1063/5.0174613. Chaos. 2024. PMID: 38198676
By contrast, we find that a specific distribution of tau, a modified Levy distribution with a finite mean, slows down the decaying rate of the velocity correlation function with respect to the lag time. However, the random tau does not promote the diffusion behavior in a d …
By contrast, we find that a specific distribution of tau, a modified Levy distribution with a finite mean, slows down the decaying ra …
Liberating Levy walk research from the shackles of optimal foraging.
Reynolds A. Reynolds A. Phys Life Rev. 2015 Sep;14:59-83. doi: 10.1016/j.plrev.2015.03.002. Epub 2015 Mar 20. Phys Life Rev. 2015. PMID: 25835600 Review.
Most research into Levy walks as models of organism movement patterns has been shaped by the 'Levy flight foraging hypothesis'. This states that, since Levy walks can optimize search efficiencies, natural selection should lead to adaptations that select for …
Most research into Levy walks as models of organism movement patterns has been shaped by the 'Levy flight foraging hypothesis' …
The evolutionary maintenance of Levy flight foraging.
Campeau W, Simons AM, Stevens B. Campeau W, et al. PLoS Comput Biol. 2022 Jan 18;18(1):e1009490. doi: 10.1371/journal.pcbi.1009490. eCollection 2022 Jan. PLoS Comput Biol. 2022. PMID: 35041659 Free PMC article.
The Levy flight foraging hypothesis states that because Levy flights can maximize an organism's search efficiency, natural selection should result in Levy-like behaviour. ...We demonstrate that selection often results in Levy-like behaviour, although c …
The Levy flight foraging hypothesis states that because Levy flights can maximize an organism's search efficiency, natural sel …
Levy walks with rests: Long-time analysis.
Magdziarz M, Szczotka W. Magdziarz M, et al. Phys Rev E. 2022 Jan;105(1-1):014114. doi: 10.1103/PhysRevE.105.014114. Phys Rev E. 2022. PMID: 35193294
In this paper we analyze the asymptotic behavior of Levy walks with rests. Applying recent results in the field of functional convergence of continuous-time random walks we find the corresponding limiting processes. Depending on the parameters of the model, we show that in …
In this paper we analyze the asymptotic behavior of Levy walks with rests. Applying recent results in the field of functional converg …
Levy Flight Model of Gaze Trajectories to Assist in ADHD Diagnoses.
Papanikolaou C, Sharma A, Lind PG, Lencastre P. Papanikolaou C, et al. Entropy (Basel). 2024 Apr 30;26(5):392. doi: 10.3390/e26050392. Entropy (Basel). 2024. PMID: 38785640 Free PMC article.
In this context, we present evidence supporting the appropriateness of a Levy flight description for eye-gaze trajectories, emphasizing its beneficial scale-invariant properties. ...Using this method, we found that the distribution of the characteristic exponent of Levy …
In this context, we present evidence supporting the appropriateness of a Levy flight description for eye-gaze trajectories, emphasizi …
Current status and future directions of Levy walk research.
Reynolds AM. Reynolds AM. Biol Open. 2018 Jan 11;7(1):bio030106. doi: 10.1242/bio.030106. Biol Open. 2018. PMID: 29326297 Free PMC article. Review.
Levy walks are a mathematical construction useful for describing random patterns of movement with bizarre fractal properties that seem to have no place in biology. Nonetheless, movement patterns resembling Levy walks have been observed at scales ranging from the mic …
Levy walks are a mathematical construction useful for describing random patterns of movement with bizarre fractal properties that see …
Levy geometric graphs.
Plaszczynski S, Nakamura G, Deroulers C, Grammaticos B, Badoual M. Plaszczynski S, et al. Phys Rev E. 2022 May;105(5-1):054151. doi: 10.1103/PhysRevE.105.054151. Phys Rev E. 2022. PMID: 35706320
It follows a gamma distribution and thus presents an exponential decay. Levy flights are particular random walks with some power-law increments of infinite variance. ...This allows to test if a graph (including nonspatial ones) could possibly result from an underlying L …
It follows a gamma distribution and thus presents an exponential decay. Levy flights are particular random walks with some power-law …
Water as a Levy Rotor.
Faux DA, Rahaman AA, McDonald PJ. Faux DA, et al. Phys Rev Lett. 2021 Dec 17;127(25):256001. doi: 10.1103/PhysRevLett.127.256001. Phys Rev Lett. 2021. PMID: 35029422
A probability density function describing the angular evolution of a fixed-length atom-atom vector as a Levy rotor is derived containing just two dynamical parameters: the Levy parameter alpha and a rotational time constant tau. A Levy parameter alpha<2 si …
A probability density function describing the angular evolution of a fixed-length atom-atom vector as a Levy rotor is derived contain …
Levy walk dynamics explain gamma burst patterns in primate cerebral cortex.
Liu Y, Long X, Martin PR, Solomon SG, Gong P. Liu Y, et al. Commun Biol. 2021 Jun 15;4(1):739. doi: 10.1038/s42003-021-02256-1. Commun Biol. 2021. PMID: 34131276 Free PMC article.
Levy walks describe patterns of intermittent motion with variable step sizes. In complex biological systems, Levy walks (non-Brownian, superdiffusive random walks) are associated with behaviors such as search patterns of animals foraging for food. Here we show that …
Levy walks describe patterns of intermittent motion with variable step sizes. In complex biological systems, Levy walks (non-B …
56,906 results
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