Random orderings of the integers and card shuffling

Saul Jacka and Jon Warren

Stochastic Processes and their Applications, 2007, vol. 117, issue 6, 708-719

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.

Keywords: Riffle; shuffles; Quasi-uniform; measures; Exchangeable; orderings; Consistent; family; of; shuffles (search for similar items in EconPapers)
Date: 2007
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