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 ...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.展开更多
基金National Natural Science Foundation of China(Grant No.11701420)。
文摘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.
