Random orderings of the integers and card shuffling |
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Authors: | Saul Jacka Jon Warren |
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Institution: | Department of Statistics, University of Warwick, Coventry CV4 7AL, UK |
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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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Keywords: | primary 60B15 secondary 60G09 37A40 37H99 60J05 03E10 |
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