Strong approximation and central limit theorems for multiscale stochastic gene networks
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.
Fields of Study & Subjects
Gene Regulatory Network Analysis
Bioinformatics and Genomic Networks
Gene expression and cancer classification
Publication details
- Journal / source
- Latin American Journal of Probability and Mathematical Statistics
- Volume
- 23
- Issue
- 1
- Pages
- 315–315
- Publication date
- 1 January 2026
- Language
- EN