Random orderings of the integers and card shuffling

Details Random orderings of the integers and card shuffling Random orderings of the integers and card shuffling

2005-08-19

arxiv.org/abs/math/0508369v1

Mathematics

Probability

12 pages. Cited in math.CO/0508131

Scientific paper

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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