@article{beyondlipschitzcontinuityandmonotonicity,
  title = {Fractal and Chaotic Activation Functions in Echo State Networks: Preprocessing Topology Governs the Echo State Property},
  author = {Rae Chipera and Jenny Du and Irene Tsapara},
  year = {2025},
  eprint = {2512.14675},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2512.14675},
}