## Problem 054 — rank:126

**Title:** Emergent homeostasis

**Added binding assumptions (LaTeX):**

```latex
For the stationary criterion hold $u$ constant and explicitly choose a failure-free or regenerative reference model with invariant law $\pi_u$. In the original killed process, almost-sure eventual absorption makes an ordinary reliable stationary law impossible; use a quasi-stationary law conditional on survival only when it exists, and report survival separately. The finite-horizon bound is evaluated in the actual model including death.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.