17 citations · 78 across the 24 of their papers we have counts for
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math.CO2012★ 3 cited
Cyclic Symmetry of the Scaled Simplex
Hugh Thomas, Nathan Williams
Let Z_m^k consist of the m^k alcoves contained in the m-fold dilation of the fundamental alcove of the type A_k affine hyperplane arrangement. As the fundamental alcove has a cycli…
math.CO2012★ 17 cited
Stable multivariate -Eulerian polynomials
Mirkó Visontai, Nathan Williams
We prove a multivariate strengthening of Brenti's result that every root of the Eulerian polynomial of type is real. Our proof combines a refinement of the descent statistic fo…