In this topical review we consider stochastic processes under resetting, which have attracted
a lot of attention in recent years. We begin with the simple example of a diffusive particle …

In this article we review classical and recent results in anomalous diffusion and provide
mechanisms useful for the study of the fundamentals of certain processes, mainly in …

Stochastic resetting is prevalent in natural and man-made systems, giving rise to a long
series of nonequilibrium phenomena. Diffusion with stochastic resetting serves as a …

We provide a unified renewal approach to the problem of random search for several targets
under resetting. This framework does not rely on specific properties of the search process …

We study experimentally and theoretically the optimal mean time needed by a free diffusing
Brownian particle to reach a target at a distance L from an initial position in the presence of …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

We consider a particle undergoing run and tumble dynamics, in which its velocity
stochastically reverses, in one dimension. We study the addition of a Poissonian resetting …

The remaining travel time of a plane shortens with every minute that passes from its
departure, and a flame diminishes a candle with every second it burns. Such everyday …

We study analytically an intermittent search process in one dimension. There is an immobile
target at the origin and a searcher undergoes a discrete time jump process starting at x 0≥ …

Stochastic processes offer a fundamentally different paradigm of dynamics than
deterministic processes that one is most familiar with, the most prominent example of the …