## Problem 249 — rank:106

**Title:** ecDNA generation and function

**Added binding assumptions (LaTeX):**

```latex
Derive $w(n,c)K(n'\mid n,c)$ from the expected offspring counting measure. A randomly selected daughter's transition law and a parent's expected offspring number need not factor this way if offspring number and daughter state are dependent. State the appropriate offspring-weighted kernel. The countable state space and overflow observation require tail and moment control; censoring all high counts cannot by itself distinguish arbitrary tail-dependent formation or selection rates.
```

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