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 …

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 …

Entropy production of resetting processes

F Mori, KS Olsen, S Krishnamurthy - Physical Review Research, 2023 - APS
Stochastic systems that undergo random restarts to their initial state have been widely
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 …

Quantum dynamics with stochastic reset

B Mukherjee, K Sengupta, SN Majumdar - Physical Review B, 2018 - APS
We study nonequilibrium dynamics of integrable and nonintegrable closed quantum
systems whose unitary evolution is interrupted with stochastic resets, characterized by a …

Nonrenewal resetting of scaled Brownian motion

AS Bodrova, AV Chechkin, IM Sokolov - Physical Review E, 2019 - APS
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 …

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 …

Current fluctuations in stochastically resetting particle systems

C Di Bello, AK Hartmann, SN Majumdar, F Mori… - Physical Review E, 2023 - APS
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 …

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 …

Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement

É Roldán, S Gupta - Physical Review E, 2017 - APS
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 …