@misc{deng2024long,
  title={Long time derivation of Boltzmann equation from hard sphere dynamics},
  author={Yu Deng and Zaher Hani and Xiao Ma},
  year={2024},
  eprint={2408.07818},
  archivePrefix={arXiv},
  primaryClass={math.AP},
  url={https://arxiv.org/abs/2408.07818}
}