97 citations · 456 across the 44 of their papers we have counts for
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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…
Discrete series representations and K multiplicities for U(p,q). User's guide
Velleda Baldoni, Michele Vergne
This document is a companion for the Maple program : Discrete series and K-types for U(p,q) available on:http://www.math.jussieu.fr/~vergne We explain an algorithm to compute the m…
Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings
Arzu Boysal, Michele Vergne
Using multiple Bernoulli series, we give a formula in the spirit of Euler MacLaurin formula. We also give a wall crossing formula and a decomposition formula. The study of these se…
[Q,R]=0 and Kostant partition functions
Andras Szenes, Michele Vergne
On a polarized compact symplectic manifold endowed with an action of a compact Lie group, in analogy with geometric invariant theory, one can define the space of invariant function…
A Remark on the Convolution with Box Splines
Michele Vergne
The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the difference between semi-discrete convolution and convoluti…