Strong approximation and central limit theorems for multiscale stochastic gene networks
Probability
2026-03-03 v2
Abstract
We study a mutliscale jump process introduced in a work by Crudu, Debussche, Muller and Radulescu. Using an adequate coupling, we are able to prove the strong convergence, for the uniform topology, to a piecewise deterministic Markov process. Under some additional regularity, we also obtain a central limit theorem and prove that the fluctuations of the continuous scale converge, in a weaker sense, to the solution of a stochastic differential equation.
Cite
@article{arxiv.2504.04768,
title = {Strong approximation and central limit theorems for multiscale stochastic gene networks},
author = {Baptiste Nicolas Huguet},
journal= {arXiv preprint arXiv:2504.04768},
year = {2026}
}