The ascent-plateau statistics on Stirling permutations
Combinatorics
2018-01-26 v2
Abstract
In this paper, several variants of the ascent-plateau statistic are introduced, including flag ascent-plateau, double ascent and descent-plateau. We first study the flag ascent-plateau statistic on Stirling permutations by using context-free grammars. We then present a unified refinement of the ascent polynomials and the ascent-plateau polynomials. In particular, by using Foata and Strehl's group action, we prove two bistatistics over the set of Stirling permutations of order n are equidistributed.
Keywords
Cite
@article{arxiv.1801.08056,
title = {The ascent-plateau statistics on Stirling permutations},
author = {Shi-Mei Ma and Jun Ma and Yeong-Nan Yeh},
journal= {arXiv preprint arXiv:1801.08056},
year = {2018}
}
Comments
15 pages