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- W4287817967 abstract "In this expository article, we highlight the direct connection between card shuffling and the functions known as $P$-partitions that come from algebraic combinatorics. While many (but not all) of the results we discuss are known, we give a unified treatment. The key idea is this: the probability of obtaining a permutation $pi$ from shelf shuffling is the probability that a random $P$-partition is sorted by $pi$, and the probability of obtaining $pi$ from riffle shuffling is the probability that a random $P$-partition is sorted by $pi^{-1}$." @default.
- W4287817967 created "2022-07-26" @default.
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- W4287817967 date "2020-04-03" @default.
- W4287817967 modified "2023-10-16" @default.
- W4287817967 title "Card shuffling and $P$-partitions" @default.
- W4287817967 doi "https://doi.org/10.48550/arxiv.2004.01659" @default.
- W4287817967 hasPublicationYear "2020" @default.
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