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 …

Stochastic resetting: A (very) brief review

S Gupta, AM Jayannavar - Frontiers in Physics, 2022 - frontiersin.org
Stochastic processes offer a fundamentally different paradigm of dynamics than
deterministic processes that one is most familiar with, the most prominent example of the …

The inspection paradox in stochastic resetting

A Pal, S Kostinski, S Reuveni - Journal of Physics A …, 2022 - iopscience.iop.org
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 …

Optimal resetting Brownian bridges via enhanced fluctuations

B De Bruyne, SN Majumdar, G Schehr - Physical Review Letters, 2022 - APS
We introduce a resetting Brownian bridge as a simple model to study search processes
where the total search time tf is finite and the searcher returns to its starting point at tf. This is …

Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes

W Wang, AG Cherstvy, H Kantz, R Metzler, IM Sokolov - Physical Review E, 2021 - APS
How different are the results of constant-rate resetting of anomalous-diffusion processes in
terms of their ensemble-averaged versus time-averaged mean-squared displacements …

Diffusion with resetting in a logarithmic potential

S Ray, S Reuveni - The Journal of chemical physics, 2020 - pubs.aip.org
We study the effect of resetting on diffusion in a logarithmic potential. In this model, a particle
diffusing in a potential U (x)= U 0 log| x| is reset, ie, taken back to its initial position, with a …

Stochastic resetting in interacting particle systems: A review

A Nagar, S Gupta - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
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 …

Work fluctuations and Jarzynski equality in stochastic resetting

D Gupta, CA Plata, A Pal - Physical review letters, 2020 - APS
We consider the paradigm of an overdamped Brownian particle in a potential well, which is
modulated through an external protocol, in the presence of stochastic resetting. Thus, in …

Time-averaging and nonergodicity of reset geometric Brownian motion with drift

D Vinod, AG Cherstvy, R Metzler, IM Sokolov - Physical Review E, 2022 - APS
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 …

Symmetric exclusion process under stochastic resetting

U Basu, A Kundu, A Pal - Physical Review E, 2019 - APS
We study the behavior of a symmetric exclusion process (SEP) in the presence of stochastic
resetting where the configuration of the system is reset to a steplike profile with a fixed rate r …