Stochastic resetting and applications
MR Evans, SN Majumdar… - Journal of Physics A …, 2020 - iopscience.iop.org
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 …
Run and tumble particle under resetting: a renewal approach
MR Evans, SN Majumdar - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
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 …
Entropy production of resetting processes
Stochastic systems that undergo random restarts to their initial state have been widely
investigated in recent years, both theoretically and in experiments. Oftentimes, however …
investigated in recent years, both theoretically and in experiments. Oftentimes, however …
Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
JP Garrahan - Physical Review E, 2017 - APS
Recent large deviation results have provided general lower bounds for the fluctuations of
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …
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 …
Nonrenewal resetting of scaled Brownian motion
We investigate an intermittent stochastic process in which diffusive motion with a time-
dependent diffusion coefficient, D (t)∼ t α− 1, α> 0 (scaled Brownian motion), is …
dependent diffusion coefficient, D (t)∼ t α− 1, α> 0 (scaled Brownian motion), is …
A minimal model of dynamical phase transition
PT Nyawo, H Touchette - Europhysics Letters, 2017 - iopscience.iop.org
We calculate the large deviation functions characterizing the long-time fluctuations of the
occupation of drifted Brownian motion and show that these functions have non-analytic …
occupation of drifted Brownian motion and show that these functions have non-analytic …
Current fluctuations in stochastically resetting particle systems
We consider a system of noninteracting particles on a line with initial positions distributed
uniformly with density ρ on the negative half-line. We consider two different models:(i) Each …
uniformly with density ρ on the negative half-line. We consider two different models:(i) Each …
Condensation transition in large deviations of self-similar Gaussian processes with stochastic resetting
NR Smith, SN Majumdar - Journal of Statistical Mechanics …, 2022 - iopscience.iop.org
Condensation transition in large deviations of self-similar Gaussian processes with stochastic
resetting - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …
resetting - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …
Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
We study the dynamics of overdamped Brownian particles diffusing in conservative force
fields and undergoing stochastic resetting to a given location at a generic space-dependent …
fields and undergoing stochastic resetting to a given location at a generic space-dependent …