2018/01/24 by Ma, Shi-Mei, Ma, Jun, Yeh, Yeong-Nan
#05A05 #05A15 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1801.08056
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.