In this review, we discuss the persistence and the related first-passage properties in
extended many-body nonequilibrium systems. Starting with simple systems with one or few …

The paradigm of chemical activation rates in cellular biology has been shifted from the mean
arrival time of a single particle to the mean of the first among many particles to arrive at a …

For both Lévy flight and Lévy walk search processes we analyse the full distribution of first-
passage and first-hitting (or first-arrival) times. These are, respectively, the times when the …

We study the first passage statistics to adsorbing boundaries of a Brownian motion in
bounded two-dimensional domains of different shapes and configurations of the adsorbing …

In this paper we study some aspects of search for an immobile target by a swarm of N non-
communicating, randomly moving searchers (numbered by the index k, k= 1, 2,..., N), which …

We investigate a stochastic search process in one dimension under the competing roles of
mortality, redundancy, and diversity of the searchers. This picture represents a toy model for …

Group‐hunting is ubiquitous across animal taxa and has received considerable attention in
the context of its functions. By contrast much less is known about the mechanisms by which …

We propose a bio-inspired, agent-based approach to describe the natural phenomenon of
group chasing in both two and three dimensions. Using a set of local interaction rules we …

N searchers are sent out by a source in order to locate a fixed object which is at a finite
distance D, but the search space is infinite and D would be in general unknown. Each of the …

The phenomenon of collective predation is analyzed by using a simple individual-based
model reproducing spatial animal movements. Two groups of self-propelled organisms are …