3 papers
math.CO2025
Inverse descent statistic for André and simsun permutations
Guo-Niu Han, Kathy Q. Ji, Huan Xiong
Simsun permutations, André I permutations and André II permutations are three combinatorial models for Euler numbers. It's known that the descent statistic is equidistributed ove…
math.CO2025
A Self-Conjugate Partition Analog of -Core Partitions with Distinct Parts
Huan Xiong, Lihong Yang
Simultaneous core partitions have been widely studied in the past 20 years. In 2013, Amdeberhan gave several conjectures on the number, the average size, and the largest size of $(…
math.PR2024
Asymptotic Normality and Concentration Inequalities of Statistics of Core Partitions with Bounded Perimeters
Jiange Li, Yetong Sha, Huan Xiong
Core partitions have attracted much attention since Anderson's work (2002) on the number of -core partitions for coprime . Recently, there has been a growing interest i…