AI 中文总结
文章回顾Loehr和Remmel的双射$\phi_n$,其将特定双统计量映射,本文给出更直接的$\phi_n$定义,更便于计算与处理,此为主要贡献。
AI 中文摘要
在这篇说明性文章中,我们回顾了Loehr和Remmel给出的一个显著双射$\phi_n$,它从大小为n的停车函数集到其自身,将双统计量(dinv,面积)映射为双统计量(面积,pmaj)。本文唯一的新颖之处在于我们对$\phi_n$的定义,它比原定义更直接,更易于计算和处理。
英文摘要
In this expository article we review a remarkable bijection $ϕ_n$ due to Loehr and Remmel from the set of parking functions of size n into itself, which sends the bistatistic (dinv, area) into the bistatistic (area, pmaj). The only novelty of the present work is our definition of $ϕ_n$, which is more direct than the original one, hence easier to compute and to work with.
Comments14 pages, 11 figures, expository article