The nerd snipers problem
Metric Geometry
2024-09-24 v2 Probability
Abstract
We correct errors that appear throughout "The vicious neighbour problem" by Tao and Wu. We seek to solve the following problem. Suppose 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 of nerds who are left unscathed in the limit as ?
Cite
@article{arxiv.2409.06068,
title = {The nerd snipers problem},
author = {Boris Alexeev and Dustin G. Mixon},
journal= {arXiv preprint arXiv:2409.06068},
year = {2024}
}
Comments
10 pages, 1 figure, 3 tables. Comment on DOI 10.1088/0305-4470/20/5/008 (R Tao and F Y Wu 1987 J. Phys. A: Math. Gen. 20 L299)