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math.CO2021★ 3 cited
Homomesy via Toggleability Statistics
Colin Defant, Sam Hopkins, Svetlana Poznanović +1
The rowmotion operator acting on the set of order ideals of a finite poset has been the focus of a significant amount of recent research. One of the major goals has been to exhibit…
math.CO2019
Hecke insertion and maximal increasing and decreasing sequences in fillings of stack polyominoes
Ting Guo, Svetlana Poznanović
We prove that the number of 01-fillings of a given stack polyomino (a polyomino with justified rows whose lengths form a unimodal sequence) with at most one 1 per column which do n…
math.CO2019
Tree Descent Polynomials: Unimodality and Central Limit Theorem
Amy Grady, Svetlana Poznanović
For a poset whose Hasse diagram is a rooted plane forest , we consider the corresponding tree descent polynomial , which is a generating function of the number of descen…