Lévy walk dynamics explain gamma burst patterns in primate cerebral cortex

Y Liu, X Long, PR Martin, SG Solomon… - Communications …, 2021 - nature.com
Lévy walks describe patterns of intermittent motion with variable step sizes. In complex
biological systems, Lévy walks (non-Brownian, superdiffusive random walks) are associated …

Functional advantages of Lévy walks emerging near a critical point

MS Abe - Proceedings of the National Academy of …, 2020 - National Acad Sciences
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 …

A neural coding scheme reproducing foraging trajectories

ED Gutiérrez, JL Cabrera - Scientific reports, 2015 - nature.com
The movement of many animals may follow Lévy patterns. The underlying generating
neuronal dynamics of such a behavior is unknown. In this paper we show that a novel …

The foraging brain: Evidence of Lévy dynamics in brain networks

T Costa, G Boccignone, F Cauda, M Ferraro - PloS one, 2016 - journals.plos.org
In this research we have analyzed functional magnetic resonance imaging (fMRI) signals of
different networks in the brain under resting state condition. To such end, the dynamics of …

Scale-free animal movement patterns: Lévy walks outperform fractional Brownian motions and fractional Lévy motions in random search scenarios

AM Reynolds - Journal of Physics A: Mathematical and …, 2009 - iopscience.iop.org
The movement patterns of a diverse range of animals have scale-free characteristics. These
characteristics provide necessary but not sufficient conditions for the presence of movement …

Lévy flights in human behavior and cognition

A Baronchelli, F Radicchi - Chaos, Solitons & Fractals, 2013 - Elsevier
Lévy flights represent the best strategy to randomly search for a target in an unknown
environment, and have been widely observed in many animal species. Here, we inspect and …

Current status and future directions of Lévy walk research

AM Reynolds - Biology open, 2018 - journals.biologists.com
ABSTRACT Lévy walks are a mathematical construction useful for describing random
patterns of movement with bizarre fractal properties that seem to have no place in biology …

Lévy walk dynamics in an external harmonic potential

P Xu, T Zhou, R Metzler, W Deng - Physical Review E, 2020 - APS
Lévy walks (LWs) are spatiotemporally coupled random-walk processes describing
superdiffusive heat conduction in solids, propagation of light in disordered optical materials …

Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity

D Golomb, GB Ermentrout - Proceedings of the National …, 1999 - National Acad Sciences
Propagation of discharges in cortical and thalamic systems, which is used as a probe for
examining network circuitry, is studied by constructing a one-dimensional model of integrate …

Order in spontaneous behavior

A Maye, C Hsieh, G Sugihara, B Brembs - PloS one, 2007 - journals.plos.org
Brains are usually described as input/output systems: they transform sensory input into
motor output. However, the motor output of brains (behavior) is notoriously variable, even …