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4 papers · 2 filters
Weighted Ehrhart Theory and Orbifold Cohomology
Alan Stapledon
We introduce the notion of a weighted -vector of a lattice polytope. Although the definition is motivated by motivic integration, we study weighted -vectors from a combinator…
The space of tropically collinear points is shellable
Hannah Markwig, Josephine Yu
The space T_{d,n} of n tropically collinear points in a fixed tropical projective space TP^{d-1} is equivalent to the tropicalization of the determinantal variety of matrices of ra…
Affine descents and the Steinberg torus
Kevin Dilks, T. Kyle Petersen, John Stembridge
Let be an irreducible affine Weyl group with Coxeter complex , where denotes the associated finite Weyl group and the translation subgroup. The Steinberg to…
Asymptotic estimates for the number of contingency tables, integer flows, and volumes of transportation polytopes
Alexander Barvinok
We prove an asymptotic estimate for the number of mxn non-negative integer matrices (contingency tables) with prescribed row and column sums and, more generally, for the number of…