# [Nonuniqueness of percolation on nonamenable quasi-transitive graphs](paper.pdf)

**Author:** OpenAI

**Date:** September 24, 2026

## Citation

To cite this manuscript:

```bibtex
@misc{OAI:Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026,
  author = {{OpenAI}},
  title = {{Nonuniqueness of percolation on nonamenable quasi-transitive graphs}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026/paper.pdf}{OAI:Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026}},
  year = {2026}
}
```