scholarly journals Lévy Meets Poisson: A Statistical Artifact May Lead to Erroneous Recategorization of Lévy Walk as Brownian Motion

2013 ◽  
Vol 181 (3) ◽  
pp. 440-450 ◽  
Author(s):  
Arild O. Gautestad
Keyword(s):  
Brownian Motion ◽  
Lévy Walk ◽  
Levy Walk ◽  
Statistical Artifact

scholarly journals Aging two-state process with Lévy walk and Brownian motion

2019 ◽  
Vol 100 (1) ◽  
Author(s):  
Xudong Wang ◽  
Yao Chen ◽  
Weihua Deng
Keyword(s):  
Brownian Motion ◽  
And Brownian Motion ◽  
Lévy Walk ◽  
State Process ◽  
Levy Walk

Diffusion

2018 ◽  
Author(s):  
Ginestra Bianconi
Keyword(s):  
Random Walks ◽  
Spectral Properties ◽  
Diffusion Constant ◽  
Network Structures ◽  
Multilayer Networks ◽  
Multilayer Network ◽  
Lévy Walk ◽  
Number Of Layers ◽  
Levy Walk ◽  
Speed Up

This chapter addresses diffusion, random walks and congestion in multilayer networks. Here it is revealed that diffusion on a multilayer network can be significantly speed up with respect to diffusion taking place on its single layers taken in isolation, and that sometimes it is possible also to observe super-diffusion. Diffusion is here characterized on multilayer network structures by studying the spectral properties of the supra-Laplacian and the dependence on the diffusion constant among different layers. Random walks and its variations including the Lévy Walk are shown to reflect the improved navigability of multilayer networks with more layers. These results are here compared with the results of traffic on multilayer networks that, on the contrary, point out that increasing the number of layers could be detrimental and could lead to congestion.

scholarly journals Amoebic Foraging Model of Metastatic Cancer Cells

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1140
Author(s):  
Daiki Andoh ◽  
Yukio-Pegio Gunji
Keyword(s):  
Bayesian Inference ◽  
Cancer Cells ◽  
Metastatic Cancer ◽  
Gait Patterns ◽  
Lévy Walk ◽  
Levy Walk ◽  
Unicellular Organisms ◽  
Living Organisms ◽  
Walk Algorithm ◽  
Metastatic Cancer Cells

The Lévy walk is a pattern that is often seen in the movement of living organisms; it has both ballistic and random features and is a behavior that has been recognized in various animals and unicellular organisms, such as amoebae, in recent years. We proposed an amoeba locomotion model that implements Bayesian and inverse Bayesian inference as a Lévy walk algorithm that balances exploration and exploitation, and through a comparison with general random walks, we confirmed its effectiveness. While Bayesian inference is expressed only by P(h) = P(h|d), we introduce inverse Bayesian inference expressed as P(d|h) = P(d) in a symmetry fashion. That symmetry contributes to balancing contracting and expanding the probability space. Additionally, the conditions of various environments were set, and experimental results were obtained that corresponded to changes in gait patterns with respect to changes in the conditions of actual metastatic cancer cells.

scholarly journals Langevin dynamics for a Lévy walk with memory

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Yao Chen ◽  
Xudong Wang ◽  
Weihua Deng
Keyword(s):  
Langevin Dynamics ◽  
Lévy Walk ◽  
Levy Walk ◽  
With Memory

scholarly journals Evidence of Levy walk foraging patterns in human hunter-gatherers

2013 ◽  
Vol 111 (2) ◽  
pp. 728-733 ◽  
Author(s):  
D. A. Raichlen ◽  
B. M. Wood ◽  
A. D. Gordon ◽  
A. Z. P. Mabulla ◽  
F. W. Marlowe ◽  
...  
Keyword(s):  
Hunter Gatherers ◽  
Foraging Patterns ◽  
Lévy Walk ◽  
Levy Walk

scholarly journals Simulations of Lévy walk

2020 ◽  
Author(s):  
Venkat Abhignan ◽  
Sinduja Rajadurai
Keyword(s):  
Movement Pattern ◽  
Stable Distributions ◽  
Lévy Distribution ◽  
Lévy Walk ◽  
Lévy Walks ◽  
Levy Distribution ◽  
Levy Walk ◽  
The Ideal

AbstractWe simulate stable distributions to study the ideal movement pattern for the spread of a virus using autonomous carrier. We observe Lévy walks to be the most ideal way to spread and further study how the parameters in Lévy distribution affects the spread.

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