The Painlevé I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchy

@misc{marchal2025painlevhierarchycorrespondence,
      title={The Painlevé I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchy},
      author={Olivier Marchal and Nathan Hayford and Mohamad Alameddine},
      year={2025},
      eprint={2508.18433},
      archivePrefix={arXiv},
      primaryClass={math-ph},
      url={https://arxiv.org/abs/2508.18433},
}