Abstract : We exploit a bijection between plane recursive trees and Stirling permutations; this yields the equivalence of some results previously proven separately by different methods for the two types of objects as well as some new results. We also prove results on the joint distribution of the numbers of ascents, descents and plateaux in a random Stirling permutation. The proof uses an interesting generalized Pólya urn.
https://hal.inria.fr/hal-01194667 Contributor : Coordination Episciences IamConnect in order to contact the contributor Submitted on : Monday, September 7, 2015 - 12:50:50 PM Last modification on : Wednesday, May 10, 2017 - 5:41:21 PM Long-term archiving on: : Tuesday, December 8, 2015 - 12:53:16 PM