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 …

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

First passage under restart has recently emerged as a conceptual framework suitable for the
description of a wide range of phenomena, but the endless variety of ways in which restart …

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 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 …

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 …

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 …

Metadynamics is a powerful method to accelerate molecular dynamics simulations, but its
efficiency critically depends on the identification of collective variables that capture the slow …

We consider a Brownian particle diffusing in a one-dimensional interval with absorbing end
points. We study the ramifications when such motion is interrupted and restarted from the …

Many search processes are conducted in the vicinity of a favored location, ie, a home, which
is visited repeatedly. Foraging animals return to their dens and nests to rest, scouts return to …