@misc{DHM2025,
  author        = {Deng, Yu and Hani, Zaher and Ma, Xiao},
  title         = {Long time derivation of the {Boltzmann} equation from hard sphere dynamics},
  year          = {2025},
  eprint        = {2408.07818v3},
  archivePrefix = {arXiv},
  primaryClass  = {math.AP},
  doi           = {10.48550/arXiv.2408.07818},
  url           = {https://arxiv.org/abs/2408.07818v3},
  note          = {Annals of Mathematics, to appear. \href{https://arxiv.org/abs/2408.07818v3}{{arXiv}:2408.07818v3}, 18 July 2025}
}

@article{BGSS2023,
  author  = {Bodineau, Thierry and Gallagher, Isabelle and Saint-Raymond, Laure and Simonella, Sergio},
  title   = {Statistical dynamics of a hard sphere gas: fluctuating {Boltzmann} equation and large deviations},
  journal = {Annals of Mathematics},
  volume  = {198},
  number  = {3},
  pages   = {1047--1201},
  year    = {2023},
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  url     = {https://annals.math.princeton.edu/2023/198-3/p03},
  note    = {\href{https://doi.org/10.4007/annals.2023.198.3.3}{{DOI}:\nolinkurl{10.4007/annals.2023.198.3.3}}. Section and proposition locators refer to \href{https://arxiv.org/abs/2008.10403v2}{arXiv:2008.10403v2}},
  eprint  = {2008.10403v2},
  archivePrefix = {arXiv}
}

@article{BGSS2024,
  author  = {Bodineau, Thierry and Gallagher, Isabelle and Saint-Raymond, Laure and Simonella, Sergio},
  title   = {Long-time derivation at equilibrium of the fluctuating {Boltzmann} equation},
  journal = {The Annals of Probability},
  volume  = {52},
  number  = {1},
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  year    = {2024},
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  note    = {\href{https://doi.org/10.1214/23-AOP1656}{{DOI}:\nolinkurl{10.1214/23-AOP1656}}},
  eprint  = {2201.04514},
  archivePrefix = {arXiv}
}

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@article{Spohn1981,
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@article{PulvirentiSimonella2017,
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  title = {The {Boltzmann--Grad} limit of a hard sphere system: analysis of the correlation error},
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@article{BGSS2020,
  author = {Bodineau, Thierry and Gallagher, Isabelle and Saint-Raymond, Laure and Simonella, Sergio},
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@article{BGSSCluster2022,
  author = {Bodineau, Thierry and Gallagher, Isabelle and Saint-Raymond, Laure and Simonella, Sergio},
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  year = {2022},
  doi = {10.1063/5.0091199},
  eprint = {2205.04110},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.1063/5.0091199}
}

@article{BGSSCorrelations2023,
  author = {Bodineau, Thierry and Gallagher, Isabelle and Saint-Raymond, Laure and Simonella, Sergio},
  title = {Long-time correlations for a hard-sphere gas at equilibrium},
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  year = {2023},
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  archivePrefix = {arXiv},
  url = {https://doi.org/10.1002/cpa.22120}
}

@incollection{Penrose1967,
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