Statistics on Ordered Partitions of Sets

@inproceedings{Steingr1999StatisticsOO,
  title={Statistics on Ordered Partitions of Sets},
  author={Einar Steingr},
  year={1999}
}
  • 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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A q-analog of Newton's Series, Stirling Functions and Eulerian Functions

  • J Zeng, C Zhang
  • Results in Math
  • 1994

White: p; q-Stirling numbers and set partition statistics

  • M Wachs
  • J. Combin. Theory Ser. A
  • 1991

Denert's permutation statistic is indeed Euler- Mahonian

  • D Foata, D Zeilberger
  • Studies in Appl. Math
  • 1990

Remmel: Q-counting rook-conngurations and a formula of Frobenius

  • M Garsia
  • J. Combin. TheorySer. A
  • 1986

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