Interesting Esoterica

A note on the Screaming Toes game

Article by Simon Tavaré
  • Published in 2020
  • Added on
We investigate properties of random mappings whose core is composed of derangements as opposed to permutations. Such mappings arise as the natural framework to study the Screaming Toes game described, for example, by Peter Cameron. This mapping differs from the classical case primarily in the behaviour of the small components, and a number of explicit results are provided to illustrate these differences.

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BibTeX entry

@article{AnoteontheScreamingToesgame,
	title = {A note on the Screaming Toes game},
	author = {Simon Tavar{\'{e}}},
	url = {http://arxiv.org/abs/2006.04805v1 http://arxiv.org/pdf/2006.04805v1},
	urldate = {2022-04-24},
	year = 2020,
	abstract = {We investigate properties of random mappings whose core is composed of
derangements as opposed to permutations. Such mappings arise as the natural
framework to study the Screaming Toes game described, for example, by Peter
Cameron. This mapping differs from the classical case primarily in the
behaviour of the small components, and a number of explicit results are
provided to illustrate these differences.},
	comment = {},
	archivePrefix = {arXiv},
	eprint = {2006.04805},
	primaryClass = {math.PR},
	collections = {attention-grabbing-titles,combinatorics,games-to-play-with-friends,probability-and-statistics,the-groups-group}
}