A note on the Screaming Toes game

• Published in 2020
• Added on 2022-04-24

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.

Links

• http://arxiv.org/abs/2006.04805v1
• http://arxiv.org/pdf/2006.04805v1

Other information

BibTeX entry

@article{AnoteontheScreamingToesgame,
	key = {AnoteontheScreamingToesgame},
	type = {article},
	title = {A note on the Screaming Toes game},
	author = {Simon Tavar{\'{e}}},
	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 = {},
	date_added = {2022-04-24},
	date_published = {2020-12-07},
	urls = {http://arxiv.org/abs/2006.04805v1,http://arxiv.org/pdf/2006.04805v1},
	collections = {attention-grabbing-titles,combinatorics,games-to-play-with-friends,probability-and-statistics,the-groups-group},
	url = {http://arxiv.org/abs/2006.04805v1 http://arxiv.org/pdf/2006.04805v1},
	urldate = {2022-04-24},
	year = 2020,
	archivePrefix = {arXiv},
	eprint = {2006.04805},
	primaryClass = {math.PR}
}