Abstract Gupta

Consider a particle diffusing in space, which occasionally jumps at random times to new regions of space or even to its initial location. The dynamics provides a simple realization of intermittent search processes, with diffusion mimicking the foraging process in which a target is looked for, and resetting implementing the process of relocation. We will discuss recent advances in characterizing the long-time properties of such a dynamics in an assembly of independent particles as well as in systems with strong interaction between the constituents.