2 papers
math.CO2024
Distributions of statistics on separable permutations
Joanna N. Chen, Sergey Kitaev, Philip B. Zhang
We derive functional equations for distributions of six classical statistics (ascents, descents, left-to-right maxima, right-to-left maxima, left-to-right minima, and right-to-left…
math.CO2022
An involution on restricted Laguerre histories and its applications
Joanna N. Chen, Shishuo Fu
Laguerre histories (restricted or not) are certain weighted Motzkin paths with two types of level steps. They are, on one hand, in natural bijection with the set of permutations, a…