Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

There is now compelling evidence that many organisms have movement patterns that can
be described as Lévy walks, or Lévy flights. Lévy movement patterns have been identified in …

When searching for food, many organisms adopt a superdiffusive, scale-free movement
pattern called a Lévy walk, which is considered optimal when foraging for heterogeneously …

Biological invasions are increasingly commonplace, driven primarily by the accidental
human transport of exotic species via shipping or trade. The economic impacts can be …

Ecological theory predicts that animal movement is shaped by its efficiency of resource
acquisition. Focusing solely on efficiency, however, ignores the fact that animal activity can …

It is generally believed that random search processes based on scale-free, Lévy stable jump
length distributions (Lévy flights) optimize the search for sparse targets. Here we show that …

The growing capacity to process and store animal tracks has spurred the development of
new methods to segment animal trajectories into elementary units of movement. Key …

Understanding the structural complexity and the main drivers of animal search behaviour is
pivotal to foraging ecology. Yet, the role of uncertainty as a generative mechanism of …

Metastatic cancer cells differ from their non-metastatic counterparts not only in terms of
molecular composition and genetics, but also by the very strategy they employ for …

We study through a reaction-diffusion algorithm the influence of landscape diversity on the
efficiency of search dynamics. Remarkably, the identical optimal search strategy arises in a …