The best visuals from the flagship and follow-up studies.
These are the figures that carry the project publicly: the cross-domain threshold, the controlled coupling refinement, the early-warning story, and the healthcare narrative.
Main result
Best single summary figure for README, portfolio, and talks.
Collapse overlay
Cross-domain collapse curves over baseline utilization.
Phase transition by topology
Family-level threshold curves with critical points called out.
Fragility heatmap
Collapse regions over utilization and coupling bands.
Early-warning signals
Variance growth and recovery lag separate collapse-prone systems before failure.
Feature importance and laws
Utilization dominates, while structural features refine collapse risk.
Controlled thresholds
The follow-up sweep that isolates utilization and coupling directly.
Threshold shift by coupling
Threshold movement exists, but it is modest compared with the first-order utilization effect.
Failure margin
The strongest operational follow-up figure: higher coupling narrows the shock buffer to failure.
Healthcare case study
Concrete baseline versus collapse versus intervention narrative for demos.
Healthcare threshold validation
The utilization cliff reappears in a more intuitive arrival-multiplier setting.
Follow-up main result
The cleanest one-page expression of the coupling refinement.