Statistics on Ordered Partitions of Sets

  title={Statistics on Ordered Partitions of Sets},
  author={Einar Steingr},
  • Einar Steingr
  • Published 1999
We introduce several statistics on ordered partitions of sets, that is, set partitions where the blocks are permuted arbitrarily. The distribution of these statistics is closely related to the q-Stirling numbers of the second kind. Some of the statistics are generalizations of known statistics on set partitions, but others are entirely new. All are conjectured to have the same distribution. All the new ones are sums of two statistics, inspired by statistics on permutations, where one of the two… CONTINUE READING

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