@article{universalsharpnessdynamicsinneural,
  title = {Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos},
  author = {Dayal Singh Kalra and Tianyu He and Maissam Barkeshli},
  year = {2023},
  eprint = {2311.02076},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2311.02076v2},
}