Two-dimensional billiards are Turing complete.

Miranda E, Ramos I

DOI: 10.1073/pnas.2614500123
Published: 2026 Sep 15
Container: Proceedings of the National Academy of Sciences of the United States of America
Publisher: Not recorded
Open access: yes

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Cite this work

BibTeX

@article{allodium:10.1073/pnas.2614500123,
  title = {Two-dimensional billiards are Turing complete.},
  author = {Miranda E and Ramos I},
  year = {2026},
  journal = {Proceedings of the National Academy of Sciences of the United States of America},
  doi = {10.1073/pnas.2614500123},
  url = {https://doi.org/10.1073/pnas.2614500123}
}

RIS

TY  - JOUR
TI  - Two-dimensional billiards are Turing complete.
AU  - Miranda E
AU  - Ramos I
PY  - 2026
JO  - Proceedings of the National Academy of Sciences of the United States of America
DO  - 10.1073/pnas.2614500123
UR  - https://doi.org/10.1073/pnas.2614500123
ER  -

APA

E, M., & I, R. (2026). Two-dimensional billiards are Turing complete.. Proceedings of the National Academy of Sciences of the United States of America. https://doi.org/10.1073/pnas.2614500123

Source records

pubmed · retrieved 2026-09-25T06:47:38.978Z