Riffle shuffles of decks with repeated cards

Abstract

By a well-known result of Bayer and Diaconis, the maximum entropy model of the common riffle shuffle implies that the number of riffle shuffles necessary to mix a standard deck of 52 cards is either 7 or 11 — with the former number applying when the metric used to define mixing is the total variation distance and the later when it is the separation distance… (More)

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