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Random orderings of the integers and card shuffling

Saul Jacka·Jon Warren
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Abstract

In this paper we study random orderings of the integers with a certain invariance property. We describe all such orders in a simple way. We define and represent random shuffles of a countable set of labels and then give an interpretation of these orders in terms of a class of generalized riffle shuffles.

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Saul Jacka, Jon Warren. 2005-08-19. Random orderings of the integers and card shuffling. https://arxiv.org/abs/math/0508369

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