2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76087In 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.12 pages. Cited in math.CO/0508131ProbabilityCombinatorics60B15text