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PreprintarXiv licencearXiv

Example of exponential many collisions of identical hard disks in the plane

Abstract

We show that the maximal number of nonsimultaneous elastic collisions among n identical hard disks moving freely on the plane is at least exponential in n.

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BibTeX
@misc{qiu2026example,
  title = {{Example of exponential many collisions of identical hard disks in the plane}},
  author = {Hongda Qiu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14282},
  eprint = {2610.14282},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14282},
}
RIS
TY  - UNPB
TI  - Example of exponential many collisions of identical hard disks in the plane
AU  - Hongda Qiu
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.14282
UR  - https://arxiv.org/abs/2610.14282
AB  - We show that the maximal number of nonsimultaneous elastic collisions among n identical hard disks moving freely on the plane is at least exponential in n.
ER  -