64 citations · 129 across the 15 of their papers we have counts for
5 papers · 1 filter
Three Ehrhart Quasi-polynomials
Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2
Let be a semi-rational parametric polytope, where is a real multi-parameter. We study intermediate sums of polynomial functions on ,…
Intermediate Sums on Polyhedra II: Bidegree and Poisson Formula
Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2
We continue our study of intermediate sums over polyhedra, interpolating between integrals and discrete sums, which were introduced by A. Barvinok [Computing the Ehrhart quasi-poly…
Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory
Velleda Baldoni, Nicole Berline, Matthias Köppe +1
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced by A. Barvinok [Computing the Ehrhart quasi-polynomial of a rational simplex, M…
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra
Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it. We describe…
Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope
Velleda Baldoni, Nicole Berline, Michèle Vergne
We extend to Barvinok's valuations the Euler-Maclaurin expansion formula which we obtained previously for the sum of values of a polynomial over the integral points of a rational p…