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- W3158049111 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.
- W3158049111 created "2021-05-10" @default.
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- W3158049111 date "2020-04-03" @default.
- W3158049111 modified "2023-09-23" @default.
- W3158049111 title "Card shuffling and $P$-partitions" @default.
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