## Problem 187 — rank:304

**Title:** Ecological consequences of stopping mutation

**Added binding assumptions (LaTeX):**

```latex
For a fixed finite continuous-time generator depending continuously on $\mu$, finite-horizon expectations are continuous in $\mu$; the nontrivial issue is the singular long-time limit and biologically relevant crossover scale. Specify continuous versus discrete time and rule out periodicity when using ordinary long-time limits. Invariant-law uniqueness is not enough to identify the zero-mutation absorption mixture without its initial-condition law.
```

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