# [Pointwise convergence of triple ergodic averages for mixing transformations](pointwise-triple-ergodic-averages-mixing-transformations.pdf)

**Author:** OpenAI

**Date:** October 4, 2026

## Citation

```bibtex
@misc{OAI:Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026,
  author = {{OpenAI}},
  title = {{Pointwise convergence of triple ergodic averages for mixing transformations}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026/pointwise-triple-ergodic-averages-mixing-transformations.pdf}{OAI:Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026}},
  year = {2026}
}
```