An Involution over Dyck Paths Related with Stirling Statistics  

作　　者：Peng CAO Joanna N.CHEN 

机构地区：[1]College of Science,Tianjin University of Technology,Tianjin 300384,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第4期437-443,共7页数学研究及应用（英文版）

基　　金：National Natural Science Foundation of China(Grant No.11701420)。

摘　　要：We construct an involution over Dyck paths,which implies the distribution of statistics“the number of peak”,“the number of returns”and“the height of the last peak”.As an application,equidistributions of several Stirling statistics over 132-avoiding and 321-avoiding permutations are presented.

关 键 词：INVOLUTIONS Dyck paths PATTERN PEAK returns 

分 类 号：O157[理学—数学]