Plane recursive trees, Stirling permutations and an urn model
Combinatorics
2008-03-10 v1 Probability
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 Polya urn
Cite
@article{arxiv.0803.1129,
title = {Plane recursive trees, Stirling permutations and an urn model},
author = {Svante Janson},
journal= {arXiv preprint arXiv:0803.1129},
year = {2008}
}
Comments
8 pages