1 citations · 1 across the 4 of their papers we have counts for
13 papers
Plateaux on generalized Stirling permutations and partial -positivity
Zhicong Lin, Jun Ma, Philip B. Zhang
We prove that the enumerative polynomials of generalized Stirling permutations by the statistics of plateaux, descents and ascents are partial -positive. Specialization of our r…
Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive
Vasu Tewari, Andrew Timothy Wilson, Philip B. Zhang
Motivated by the study of Macdonald polynomials, J. Haglund and A. Wilson introduced a nonsymmetric polynomial analogue of the chromatic quasisymmetric function called the \emph{ch…
Distributions of several infinite families of mesh patterns
Sergey Kitaev, Philip B. Zhang, Xutong Zhang
Brändén and Claesson introduced mesh patterns to provide explicit expansions for certain permutation statistics as linear combinations of (classical) permutation patterns. The firs…
Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids
Matthew H. Y. Xie, Philip B. Zhang
The equivariant Kazhdan-Lusztig polynomial of a matroid was introduced by Gedeon, Proudfoot, and Young. Gedeon conjectured an explicit formula for the equivariant Kazhdan-Lusztig p…
Real-rootedness of variations of Eulerian polynomials
James Haglund, Philip B. Zhang
The binomial Eulerian polynomials, introduced by Postnikov, Reiner, and Williams, are -positive polynomials and can be interpreted as -polynomials of certain flag simplicial…
Distributions of mesh patterns of short lengths
Sergey Kitaev, Philip B. Zhang
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al., where 25 out of 65 non-equivalent cases were solved. In this paper, we give 27 dist…