N. Berline

activity

20052016

most citedHow to Integrate a Polynomial over a Simplex

64 citations · 118 across the 13 of their papers we have counts for

collaborators

Showing 2014 · math.COShow all

2 papers · 2 filters

math.CO2014

Three Ehrhart Quasi-polynomials

Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2

Let $P (b) \subset R^{d}$ be a semi-rational parametric polytope, where $b = (b_{j}) \in R^{N}$ is a real multi-parameter. We study intermediate sums of polynomial functions $h (x)$ on $P (b)$ ,…

math.CO2014★ 4 cited

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…