Variational Principle of Persistence (VPP)

Reproducible scripts for: "The Variational Principle of Persistence: Mathematical Foundations and Computational Validation in Biological, Physical, and Topological Systems"

Duarte, A.A. & Avalos Soto, C.P. (2025)

Scripts

Script	Figures	Description
Biological_fig1_fig2_fig6.py	Fig. 1, 2, 6	Survival simulation, thermal functional, window sensitivity
vpp_bacterial_validation_fig_3.py	Fig. 3	Cross-species bacterial validation
Fig_4.py	Fig. 4	2D Ising model
Fig_5.py	Fig. 5	Watts-Strogatz networks
fig_7.py	Fig. 7	Ising monotone reparametrization sensitivity
fig_8.py	Fig. 8	Ising finite-size scaling
fig_9.py	Fig. 9	Ising OM robustness (χ vs Cv)

Requirements

numpy
matplotlib
scipy
networkx

Citation

@article{duarte2025vpp,
  title={The Variational Principle of Persistence},
  author={Duarte, Alberto A. and Avalos Soto, Carlos Paul},
  year={2025}
}

License

MIT