Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation

Search Page

Filters

My Custom Filters

Results by year

Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1842 1
1880 1
1891 1
1895 2
1897 2
1899 2
1901 1
1902 1
1905 1
1906 1
1907 1
1909 2
1910 1
1911 2
1912 2
1913 1
1914 4
1915 1
1916 1
1917 2
1918 2
1919 1
1920 4
1921 2
1922 1
1923 4
1924 3
1926 2
1928 2
1929 4
1930 1
1931 1
1932 4
1933 1
1935 2
1936 5
1937 1
1938 1
1939 3
1940 2
1941 2
1942 1
1943 3
1944 1
1945 32
1946 42
1947 55
1948 66
1949 74
1950 124
1951 135
1952 126
1953 152
1954 140
1955 127
1956 126
1957 115
1958 131
1959 167
1960 146
1961 117
1962 167
1963 155
1964 184
1965 206
1966 164
1967 215
1968 201
1969 227
1970 245
1971 252
1972 310
1973 290
1974 316
1975 346
1976 356
1977 383
1978 365
1979 390
1980 370
1981 362
1982 384
1983 405
1984 450
1985 488
1986 482
1987 506
1988 532
1989 569
1990 594
1991 539
1992 581
1993 651
1994 646
1995 608
1996 678
1997 646
1998 684
1999 753
2000 1212
2001 902
2002 938
2003 999
2004 1136
2005 1150
2006 1242
2007 1252
2008 1344
2009 1389
2010 1479
2011 1597
2012 1733
2013 1753
2014 1922
2015 2093
2016 2121
2017 2053
2018 2182
2019 2300
2020 2621
2021 2907
2022 2841
2023 2576
2024 2526
2025 2627
2026 49

Publication date

Text availability

Article attribute

Article type

Additional filters

Article Language

Species

Sex

Age

Other

Search Results

59,136 results

Results by year

Filters applied: . Clear all
Page 1
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' …
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 …
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 Noise Affects Ornstein-Uhlenbeck Memory.
Eliazar I. Eliazar I. Entropy (Basel). 2025 Feb 2;27(2):157. doi: 10.3390/e27020157. Entropy (Basel). 2025. PMID: 40003154 Free PMC article.
Intuition suggests the following points: (1) changing the noise that drives the OUP from Gauss to Levy will not affect the memory, as both noises share the common 'independent increments' property; (2) changing the auto-correlation of the OUP from exponential to slowly dec …
Intuition suggests the following points: (1) changing the noise that drives the OUP from Gauss to Levy will not affect the memory, as …
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 …
Power Levy motion. I. Diffusion.
Eliazar I. Eliazar I. Chaos. 2025 Mar 1;35(3):033157. doi: 10.1063/5.0251337. Chaos. 2025. PMID: 40131285
Shifting from the finite-variance realm to the infinite-variance realm, the counterpart of Brownian motion is Levy motion: the stable and symmetric Levy process. This pair of papers introduces and explores power Levy motion (PLM), which is to Levy moti …
Shifting from the finite-variance realm to the infinite-variance realm, the counterpart of Brownian motion is Levy motion: the stable …
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 …
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 …
Piaget and Levy-Bruhl.
Jahoda G. Jahoda G. Hist Psychol. 2000 Aug;3(3):218-38. doi: 10.1037/1093-4510.3.3.218. Hist Psychol. 2000. PMID: 11624594
Levy-Bruhl exerted a powerful influence, seldom considered, on Piaget. The Levy-Bruhlian thesis of a "pre-logical mentality" characterized by "mystical participation" is outlined, together with its initial reception. ...Piaget continued to maintain essentially the s …
Levy-Bruhl exerted a powerful influence, seldom considered, on Piaget. The Levy-Bruhlian thesis of a "pre-logical mentality" c …
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 …
59,136 results
You have reached the last available page of results. Please see the User Guide for more information.