Large deviations for Markov jump processes with uniformly diminishing rates
Probability
2021-02-26 v1 Molecular Networks
Abstract
We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly enough, in a region of the state space. We further discuss the optimality of our assumptions on the decay of the jump rates. As a direct application of this work we relax the assumptions needed for the application of LDPs to, e.g., Chemical Reaction Network dynamics, where vanishing reaction rates arise naturally particularly the context of mass action kinetics.
Cite
@article{arxiv.2102.13040,
title = {Large deviations for Markov jump processes with uniformly diminishing rates},
author = {Andrea Agazzi and Luisa Andreis and Robert I. A. Patterson and D. R. Michiel Renger},
journal= {arXiv preprint arXiv:2102.13040},
year = {2021}
}
Comments
19 pages, 2 figures