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 …

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 …

With recent technological advances in tracking devices, movements of numerous animal
species can be recorded with a high resolution over large spatial and temporal ranges. This …

To mount an immune response, T lymphocytes must successfully search for foreign material
bound to the surface of antigen-presenting cells. How T cells optimize their chances of …

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 …

While evidence for optimal random search patterns, known as Lévy walks, in empirical
movement data is mounting for a growing list of taxa spanning motile cells to humans, there …

The repartition of tracers in the ocean's upper layer on the scale of a few tens of kilometres is
largely determined by the horizontal transport induced by surface currents. Here we …

A first step in the analysis of complex movement data often involves discretisation of the path
into a series of step‐lengths and turns, for example in the analysis of specialised random …

The open ocean is a highly variable environment where marine top predators are thought to
require optimized foraging strategies to locate and capture prey. Mesoscale and sub …

We review the concept of ecosystem resilience in its relation to ecosystem integrity from an
information theory approach. We summarize the literature on the subject identifying three …