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 …

Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the
minimum of a set of random variables. This is an important problem for any time-series and …

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 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 …

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 …

We review recent work on systems with multiple interacting-particles having the dynamical
feature of stochastic resetting. The interplay of time scales related to inter-particle …

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 the nonequilibrium stationary state (NESS) of the Ising model driven away from
thermal equilibrium at temperature T by a stochastic resetting protocol. This protocol …

We develop a Landau-like theory to characterize phase transitions in resetting systems.
Restart can either accelerate or hinder the completion of a first passage process. The …