# [Asymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space](manuscript.pdf)

OpenAI  
September 27, 2026

## Citation

```bibtex
@misc{OAI:Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026,
  author = {{OpenAI}},
  title = {{Asymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026/manuscript.pdf}{OAI:Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026}},
  year = {2026}
}
```