@article{apercolationmodelofemergenceanalyzing,
  title = {A Percolation Model of Emergence: Analyzing Transformers Trained on a Formal Language},
  author = {Ekdeep Singh Lubana and Kyogo Kawaguchi and Robert P. Dick and Hidenori Tanaka},
  year = {2024},
  eprint = {2408.12578},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2408.12578v2},
}