## Problem 287 — rank:190

**Title:** Origin of self-replicating ribozymes

**Added binding assumptions (LaTeX):**

```latex
The spectral-radius survival criterion is established for the stated multitype branching assumptions; the unresolved part is a chemically realized, measured, self-renewing offspring process that satisfies it. Specify its complete offspring generating law to quantify survival probability and initial-type effects. Keep cycle conditions and dilution fixed, track renewed catalyst rather than retained seed, and test the validity of negligible competition during the claimed propagation phase.
```

**Direct edits:** 0. **Fresh external checks:** SC09, SC10, SC11