Environmental effects on rate processes in complex dynamical systems, such as biomolecules, have drawn much interest in recent years. Emphasis has been put on studies of escape over fluctuating barriers, which can generally be either energetic or geometric in character. Here we concentrate on...

We consider a hierarchical set of dynamical systems, each of which may support individual pattern formation processes. In the limit case of weak top-down interactions it provides a suitable framework for the design of self-organizing scenarios both from constructional and evolutionary...

Healthy and sick individuals (A and B particles) diffuse independently with diffusion constants DA and DB. Sick individuals upon encounter infect healthy ones (at rate k), but may also spontaneously recover (at rate 1/τ). The propagation of the epidemic therefore couples to the fluctuations in...

An extremely large body of theoretical work exists on pattern formation, but vey few experimental results have confirmed the relevance of theoretical models. It is argued in this paper that the notion of agent-based pattern formation, which is introduced and examplified, can serve as a basis to...