We study the Hilbert series of four objects arising in the Chow-theoretic and Kazhdan–
Lusztig framework of matroids. These are, respectively, the Hilbert series of the Chow ring …

We introduce the binomial-Stirling–Eulerian polynomials, denoted A ̃ n (x, y| α), which
encompass binomial coefficients, Eulerian numbers and two Stirling statistics: the left-to-right …

This article provides a comprehensive exposition about inequalities that the coefficients of
Ehrhart polynomials and h-polynomials satisfy under various assumptions. We pay …

The motivation of this paper is to investigate the joint distribution of succession and Eulerian
statistics. We first investigate the enumerators for the joint distribution of descents, big …

The binomial Eulerian polynomials, first introduced in work of Postnikov, Reiner and
Williams, are γ-positive polynomials and can be interpreted as h-polynomials of certain flag …

The Eulerian transformation is the linear operator on polynomials in one variable with real
coefficients which maps the powers of this variable to the corresponding Eulerian …

June Huh and Matthew Stevens conjectured that the Hilbert-Poincar\'e series of the Chow
ring of any matroid is a polynomial with only real zeros. We prove this conjecture for the …

The local $ h^* $-polynomial of a lattice polytope is an important invariant arising in Ehrhart
theory. Our focus in this work is on lattice simplices presented in Hermite normal form with a …

One of the most central result in combinatorics says that the descent statistic and the
excedance statistic are equidistribued over the symmetric group. As a continuation of the …

The Eulerian transformation is the linear operator on polynomials in one variable with real
coefficients which maps the powers of this variable to the corresponding Eulerian …