Stochastic restarting with multiple restart conditions
Statistical Mechanics
2025-09-16 v1 Probability
Abstract
We consider the mean first passage time (MFPT) for a diffusive particle in a potential landscape with the extra condition that the particle is reset to its original position with some rate r. We study non-smooth and non-convex potentials and focus on the case where the restart rate depends on the space coordinate. There, we show that it is beneficial to restart at a lower rate once you are closer to your intended target.
Cite
@article{arxiv.2509.11809,
title = {Stochastic restarting with multiple restart conditions},
author = {Johannes Aspman and Daniel Mastropietro and Jakub Marecek},
journal= {arXiv preprint arXiv:2509.11809},
year = {2025}
}