Resetting Induces Memory Loss in Non-Markovian Processes
Abstract
Stochastic resetting is a powerful strategy known to accelerate the first-passage time statistics of stochastic processes. While its effects on Markovian systems are well understood, a general framework for non-Markovian dynamics is still lacking, mostly due to its mathematical complexity. Here, we present an analytical and numerical framework to study non-Markovian processes under resetting, focusing on the first-passage properties of escape kinetics from metastable states. We show that resetting disrupts the inherent time correlation, inducing Markovianity, thereby leading to an efficient escape mechanism. This work, therefore, provides a much needed theoretical approach for incorporating resetting into complex chemical and biological processes, which follow non-Markovian dynamics.
Cite
@article{arxiv.2509.11608,
title = {Resetting Induces Memory Loss in Non-Markovian Processes},
author = {Debasish Saha and Rati Sharma},
journal= {arXiv preprint arXiv:2509.11608},
year = {2025}
}
Comments
29 pages, 6 figures