Equidistribution of mesh patterns of length two and Kitaev and Zhang's conjectures
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al. in 2015. In a recent paper, Kitaev and Zhang examined the distribution of the aforementioned patterns.
We show that two pairs of triple mesh patterns are equidistributed, by constructing two involutions on permutations. As an application we confirm four conjectures raised by Kitaev and Zhang recently.
Based on joint work with Jiang Zeng.
תאריך עדכון אחרון : 23/10/2020