The nerd snipers problem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910617268387840 |
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| author | Alexeev, Boris Mixon, Dustin G. |
| author_facet | Alexeev, Boris Mixon, Dustin G. |
| contents | We correct errors that appear throughout "The vicious neighbour problem" by Tao and Wu.
We seek to solve the following problem. Suppose $N$ nerds are distributed uniformly at random in a square region. At 3:14pm, every nerd simultaneously snipes their nearest neighbor. What is the expected proportion $P_N$ of nerds who are left unscathed in the limit as $N\to\infty$? |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06068 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The nerd snipers problem Alexeev, Boris Mixon, Dustin G. Metric Geometry Probability We correct errors that appear throughout "The vicious neighbour problem" by Tao and Wu. We seek to solve the following problem. Suppose $N$ nerds are distributed uniformly at random in a square region. At 3:14pm, every nerd simultaneously snipes their nearest neighbor. What is the expected proportion $P_N$ of nerds who are left unscathed in the limit as $N\to\infty$? |
| title | The nerd snipers problem |
| topic | Metric Geometry Probability |
| url | https://arxiv.org/abs/2409.06068 |