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 …

Classical first-passage times under restart are used in a wide variety of models, yet the
quantum version of the problem still misses key concepts. We study the quantum hitting time …

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

We study random walks with stochastic resetting to the initial position on arbitrary networks.
We obtain the stationary probability distribution as well as the mean and global first passage …

Repeatedly monitored quantum walks with a rate 1/τ yield discrete-time trajectories which
are inherently random. With these paths the first-hitting time with sharp restart is studied. We …

We compute exactly the mean perimeter and the mean area of the convex hull of a two-
dimensional isotropic Brownian motion of duration t and diffusion constant D, in the …

We consider the motion of a randomly accelerated particle in one dimension under
stochastic resetting mechanism. Denoting the position and velocity by x and v respectively …

We consider the dynamics of lattice random walks with resetting. The walker moving
randomly on a lattice of arbitrary dimensions resets at every time step to a given site with a …

A lattice random walk is a mathematical representation of movement through random steps
on a lattice at discrete times. It is commonly referred to as Pólya's walk when the steps occur …