7 citations · 9 across the 8 of their papers we have counts for
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Coincidences and Growth of Boxed Mesh Patterns
Sergey Kitaev, Dun Qiu, Chao Xu
A boxed mesh pattern is a mesh pattern whose selected entries lie in an empty axis-parallel rectangle. We classify coincidences of boxed patterns with classical and vincular patter…
The Ehrhart series of magic squares of orders seven and eight
Dun Qiu, Guoce Xin, Zihao Zhang
Let count the nonnegative integer matrices whose row sums, column sums, main-diagonal sum, and antidiagonal sum are all . We determine the Ehrhar…
The Schur positivity of
Dun Qiu, Minhao Zhang
Bergeron, Garsia, Haiman and Tesler conjectured in 1999 that, for all partitions , the polynomial has nonnegative in…
The nonsymmetric compositional Delta theorem
Dun Qiu, Minhao Zhang
Extending the symmetric framework of D'Adderio and Mellit, we establish a nonsymmetric generalization of the compositional Delta theorem. Building on Blasiak et al.'s theory of fla…
On shortening universal words for multi-dimensional permutations
Sergey Kitaev, Dun Qiu
A universal word (u-word) for -dimensional permutations of length is a 2-dimensional word with rows, any size window of which is order-isomorphic to exactly one pe…
Symmetric statistics on rational Dyck paths
Lilan Dai, Shishuo Fu, Dun Qiu
Rational Dyck paths are the rational generalization of classical Dyck paths. They play an important role in Catalan combinatorics, and have multiple applications in algebra and geo…