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 …

We put forward a phenomenological theory for entanglement dynamics in monitored
quantum many-body systems with well-defined quasiparticles. Within this theory …

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 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≥ …

We study a Brownian particle diffusing under a time-modulated stochastic resetting
mechanism to a fixed position. The rate of resetting r (t) is a function of the time t since the …

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 …

We consider diffusion in arbitrary spatial dimension d with the addition of a resetting process
wherein the diffusive particle stochastically resets to a fixed position at a constant rate r. We …