Statistics on Wreath Products and Generalized Binomial-Stirling Numbers

Details Statistics on Wreath Products and Generalized Binomial-Stirling Numbers Statistics on Wreath Products and Generalized Binomial-Stirling Numbers

2004-04-20

arxiv.org/abs/math/0404354v1

Mathematics

Combinatorics

36 pages

Scientific paper

Various statistics on wreath products are defined via canonical words, "colored" right to left minima and "colored" descents. It is shown that refined counts with respect to these statistics have nice recurrence formulas of binomial-Stirling type. These extended Stirling numbers determine (via matrix inversion) dual systems, which are also shown to have combinatorial realizations within the wreath product. The above setting also gives rise to MacMahon type equi-distribution theorem over subsets with prescribed statistics.

Affiliated with

Also associated with

No associations

Rating

Statistics on Wreath Products and Generalized Binomial-Stirling Numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistics on Wreath Products and Generalized Binomial-Stirling Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistics on Wreath Products and Generalized Binomial-Stirling Numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55752