Replication package: Improved diffusive approximation of Markov jump processes
Abstract
Abstract This repository contains the source code, Jupyter notebooks, and precomputed simulation datasets required to reproduce the results and figures presented in the paper: Title: Improved diffusive approximation of Markov jump processes Authors: David Roberts, et al. Preprint: arXiv:2512.14088 Journal: Accepted in Physical Review Research ⚠️ Note on Data To ensure reproducibility while maintaining a manageable file size, this repository includes the processed numerical exports (extracted from the raw ~100GB simulation logs) required to generate Figures 3–7. No external data downloads are required. Repository Structure figures/: Jupyter notebooks (.ipynb) for generating each figure in the manuscript. data/: Contains the precomputed .npz and .npy data files loaded by the notebooks. requirements.txt: Python dependencies required to run the environment. Installation & Usage Download and extract the zip file from this record. Install dependencies: pip install -r requirements.txt. Run the notebooks in the figures/ directory (e.g., jupyter notebook figures/fig03_make.ipynb).
Fields of Study & Subjects
Stochastic processes and statistical mechanics
stochastic dynamics and bifurcation
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 January 2026
- Language
- EN
- Document type
- Dataset