数学研究及应用2024，Vol.44Issue(4) ：437-443.DOI:10.3770/j.issn:2095-2651.2024.04.002

An Involution over Dyck Paths Related with Stirling Statistics

Peng CAO Joanna N.CHEN
数学研究及应用2024，Vol.44Issue(4) ：437-443.DOI:10.3770/j.issn:2095-2651.2024.04.002
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An Involution over Dyck Paths Related with Stirling Statistics

Peng CAO 1Joanna N.CHEN1
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作者信息

  • 1. College of Science,Tianjin University of Technology,Tianjin 300384,P.R.China
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Abstract

We construct an involution over Dyck paths,which implies the distribution of s-tatistics"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.

Key words

involutions/Dyck paths/pattern/peak/returns

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基金项目

National Natural Science Foundation of China(11701420)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
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