Stochastic resetting and applications
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 …
a lot of attention in recent years. We begin with the simple example of a diffusive particle …
Stochastic resetting in interacting particle systems: A review
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 …
feature of stochastic resetting. The interplay of time scales related to inter-particle …
Run and tumble particle under resetting: a renewal approach
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 …
stochastically reverses, in one dimension. We study the addition of a Poissonian resetting …
First passage under stochastic resetting in an interval
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 …
points. We study the ramifications when such motion is interrupted and restarted from the …
Restart expedites quantum walk hitting times
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 …
quantum version of the problem still misses key concepts. We study the quantum hitting time …
Time-averaging and nonergodicity of reset geometric Brownian motion with drift
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 …
future? Specifically, what are the long-time properties of a time-local exponential growth of …
Heterogeneous diffusion with stochastic resetting
We study a heterogeneous diffusion process (HDP) with position-dependent diffusion
coefficient and Poissonian stochastic resetting. We find exact results for the mean squared …
coefficient and Poissonian stochastic resetting. We find exact results for the mean squared …
Ising model with stochastic resetting
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 …
thermal equilibrium at temperature T by a stochastic resetting protocol. This protocol …
Quantum dynamics with stochastic reset
We study nonequilibrium dynamics of integrable and nonintegrable closed quantum
systems whose unitary evolution is interrupted with stochastic resets, characterized by a …
systems whose unitary evolution is interrupted with stochastic resets, characterized by a …
Random walks on networks with stochastic resetting
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 …
We obtain the stationary probability distribution as well as the mean and global first passage …