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 …

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 …

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 study the effects of stochastic resetting on geometric Brownian motion with drift (GBM), a
canonical stochastic multiplicative process for nonstationary and nonergodic dynamics …

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 a heterogeneous diffusion process (HDP) with position-dependent diffusion
coefficient and Poissonian stochastic resetting. We find exact results for the mean squared …

Resetting a stochastic process has been shown to expedite the completion time of some
complex tasks, such as finding a target for the first time. Here we consider the cost of …

In this minireview we present the main results regarding the transport properties of
stochastic movement with relocations to known positions. To do so, we formulate the …

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 …

The canonical Evans-Majumdar model for diffusion with stochastic resetting to the origin
assumes that resetting takes zero time: upon resetting the diffusing particle is teleported …