Interest in L évy walks within the context of movement of organisms has recently soared, with
some now referring to this approach as the L évy walk/flight paradigm. The principal …

The hypothesis that the optimal search strategy is a Lévy walk (LW) or Lévy flight, originally
suggested in 1995, has generated an explosion of interest and controversy. Long-standing …

Individual human trajectories are characterized by fat-tailed distributions of jump sizes and
waiting times, suggesting the relevance of continuous-time random-walk (CTRW) models for …

We study first-passage time problems for a diffusive particle with stochastic resetting with a
finite rate r. The optimal search time is compared quantitatively with that of an effective …

Flowers emit mixtures of scents that mediate plant-insect interactions such as attracting
insect pollinators. Because of their volatile nature, however, floral scents readily react with …

The recent availability of digital traces generated by phone calls and online logins has
significantly increased the scientific understanding of human mobility. Until now, however …

Habitat loss and fragmentation are important factors determining animal population
dynamics and spatial distribution. Such landscape changes can lead to the deleterious …

Fish in Lévy-flight foraging | Nature Skip to main content Thank you for visiting nature.com. You
are using a browser version with limited support for CSS. To obtain the best experience, we …

We introduce a strategy of navigation in undirected networks, including regular, random, and
complex networks, that is inspired by Lévy random walks, generalizing previous navigation …

This paper discusses some methods based on the random search problem over the bound
domain. The particle moves randomly with a bounded two-dimensional stochastic process in …