论文标题

尖叫脚趾游戏的注释

A note on the Screaming Toes game

论文作者

Tavaré, Simon

论文摘要

我们研究了随机映射的属性,其核心由扰动而不是排列组成。这样的映射是研究尖叫脚趾游戏的自然框架,例如彼得·卡梅伦(Peter Cameron)所描述的。该映射与经典案例不同,主要在小部分的行为上,提供了许多明确的结果来说明这些差异。

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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