159 citations · 178 across the 33 of their papers we have counts for
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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…
Multivariate Stable Eulerian Polynomials on Segmented Permutations
Philip B. Zhang, Xutong Zhang
Recently, Nunge studied Eulerian polynomials on segmented permutations, namely \emph{generalized Eulerian polynomials}, and further asked whether their coefficients form unimodal s…
The Kazhdan-Lusztig polynomials of uniform matroids
Alice L. L. Gao, Linyuan Lu, Matthew H. Y. Xie +2
The Kazhdan-Lusztig polynomial of a matroid was introduced by Elias, Proudfoot, and Wakefield [{\it Adv. Math. 2016}]. Let denote the uniform matroid of rank on a set…
Interlacing Polynomials and the Veronese Construction for Rational Formal Power Series
Philip B. Zhang
Fixing a positive integer and , define for every formal power series as $ f(x) = f^{\langle r,0 \rangle}(x^r)+xf^{\langle r,1 \ra…