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arxiv: math/0508369 · v1 · submitted 2005-08-19 · 🧮 math.PR · math.CO

Random orderings of the integers and card shuffling

classification 🧮 math.PR math.CO
keywords randomintegersorderingsordersshufflescardcertainclass
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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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