3 papers
math.CO2024
Joint distributions of statistics over permutations avoiding two patterns of length 3
Tian Han, Sergey Kitaev
Finding distributions of permutation statistics over pattern-avoiding classes of permutations attracted much attention in the literature. In particular, Bukata et al. found distrib…
math.CO2024
Distribution of maxima and minima statistics on alternating permutations, Springer numbers, and avoidance of flat POPs
Tian Han, Sergey Kitaev, Philip B. Zhang
In this paper, we find distributions of the left-to-right maxima, right-to-left maxima, left-to-right minima and right-to-left-minima statistics on up-down and down-up permutations…
math.CO2024
On (shape-)Wilf-equivalence of certain sets of (partially ordered) patterns
Alexander Burstein, Tian Han, Sergey Kitaev +1
We prove a conjecture of Gao and Kitaev on Wilf-equivalence of sets of patterns {12345,12354} and {45123,45213} that extends the list of 10 related conjectures proved in the litera…