[HTML][HTML] Lévy flights in random searches

GM Viswanathan, V Afanasyev, SV Buldyrev… - Physica A: Statistical …, 2000 - Elsevier
… the theory of random walks. We illustrate Lévy flight foraging by comparison to Brownian
random walks and discuss experimental observations of Lévy flights in biological foraging. We …

The Lévy flight paradigm: random search patterns and mechanisms

AM Reynolds, CJ Rhodes - Ecology, 2009 - Wiley Online Library
… in random-search theory, as well as the many different experimental and data collection
initiatives that have investigated search … for the emergence of Lévy flight patterns in some …

Lévy flights and superdiffusion in the context of biological encounters and random searches

GM Viswanathan, EP Raposo, MGE Da Luz - Physics of Life Reviews, 2008 - Elsevier
… of random searches in the context of biological encounters. We analyze deterministic and
stochastic aspects of searching … We discuss the concepts of Lévy walks as adaptive strategies …

Lévy flights and random searches

EP Raposo, SV Buldyrev, MGE Da Luz… - Journal of Physics A …, 2009 - iopscience.iop.org
… to the inverse of the search efficiency) of a Lévy flight between two consecutive target sites
in one dimension. In section 4, we discuss a random search in regular and defective lattices, …

Lévy flight random searches in biological phenomena

GM Viswanathan, F Bartumeus, SV Buldyrev… - Physica A: Statistical …, 2002 - Elsevier
Lévy flights observed in the movements of biological organisms performing random walks
while searching … in Lévy or Brownian random walks. We discuss recent findings indicating that …

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 … of Lévy flights,
while fresh evidence indicates that the same pattern accounts for human mental searches in …

Lévy flights do not always optimize random blind search for sparse targets

VV Palyulin, AV Chechkin… - Proceedings of the …, 2014 - National Acad Sciences
search advantage is less universal than commonly assumed. We study the efficiency of a
minimalist search model based on Lévy flights … bias in an abstract search space) based on two …

Optimizing the success of random searches

GM Viswanathan, SV Buldyrev, S Havlin, MGE da Luz… - nature, 1999 - nature.com
… Here we study how the search efficiency depends on the … A Lévy flight strategy is also a
good solution for the related problem of where to locate N radar stations to optimize the search

Lévy flights search patterns of biological organisms

GM Viswanathan, V Afanasyev, SV Buldyrev… - Physica A: Statistical …, 2001 - Elsevier
… an optimal random search strategy for organisms that can search efficiently for randomly
located … may be dependent on the dimensionality of the search space and the presence of short-…

Asymmetric Lévy flights are more efficient in random search

A Padash, T Sandev, H Kantz, R Metzler… - Fractal and …, 2022 - mdpi.com
… of random search based on asymmetric Lévy flights, we here aim at understanding this search
strategy … this type of asymmetric motion optimises random search. This will be achieved by …