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 …

Bursty dynamics is a common temporal property of various complex systems in nature but it
also characterises the dynamics of human actions and interactions. At the …

Strongly non-Markovian random walks offer a promising modeling framework for
understanding animal and human mobility, yet, few analytical results are available for these …

An individual's choices are shaped by its experience, a fundamental property of behavior
important to understanding complex processes. Learning and memory are observed across …

In this article, we present a survey of different types of random walk models with local and
non-local transitions on undirected weighted networks. We present a general approach by …

We study a non-Markovian and nonstationary model of animal mobility incorporating both
exploration and memory in the form of preferential returns. Exact results for the probability of …

We solve an adaptive search model where a random walker or Lévy flight stochastically
resets to previously visited sites on ad-dimensional lattice containing one trapping site …

This book analyzes stochastic processes on networks and regular structures such as lattices
by employing the Markovian random walk approach. Part 1 is devoted to the study of local …

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 …

Movement patterns resembling Lévy walks, often attributed to the execution of an
advantageous probabilistic searching strategy, are found in a wide variety of organisms …