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 …

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 …

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 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 study the position distribution of an active Brownian particle (ABP) in the presence of
stochastic resetting in two spatial dimensions. We consider three different resetting …

We study the effect of resetting on diffusion in a logarithmic potential. In this model, a particle
diffusing in a potential U (x)= U 0 log| x| is reset, ie, taken back to its initial position, with a …

How do near-bankruptcy events in the past affect the dynamics of stock-market prices in the
future? Specifically, what are the long-time properties of a time-local exponential growth of …

In the past few years, stochastic resetting has become a subject of immense interest. Most of
the theoretical studies so far focused on instantaneous resetting which is, however, a major …

First passage under restart has recently emerged as a conceptual framework to study
various stochastic processes under restart mechanism. Emanating from the canonical …