The construction of optimal template banks for matched-filtering searches is an example of
the sphere covering problem. For parameter spaces with constant-coefficient metrics a (near …

Astrophysical compact binary systems consisting of neutron stars and black holes are an
important class of gravitational wave (GW) sources for advanced LIGO detectors. Accurate …

In this paper we are concerned with finding the vertices of the Voronoi cell of a Euclidean
lattice. Given a basis of a lattice, we prove that computing the number of vertices is a …

The Moment-SOS hierarchy initially introduced in optimization in 2000, is based on the
theory of the K-moment problem and its dual counterpart, polynomials that are positive on K …

It is known that the sphere-packing problem and the number-variance problem (closely
related to an optimization problem in number theory) can be posed as energy minimizations …

In random sequential covering, identical objects are deposited randomly, irreversibly, and
sequentially; only attempts increasing the coverage are accepted. A finite system eventually …

This paper reports on the full classification of Dirichlet–Voronoi polyhedra and Delaunay
subdivisions of five-dimensional translational lattices. A complete list is obtained of 110 244 …

A major problem in the geometry of numbers is the investigation of the local minima of the
Epstein zeta function. In this article refined minimum properties of the Epstein zeta function …

El presente artículo presenta los resultados de un concurso realizado por el Departamento
de Estudios Educativos de la Universidad de Caldas-Manizales, con el fin de promover la …

GF Voronoi (1868–1908) wrote two memoirs in which he describes two reduction theories
for lattices, well-suited for sphere packing and covering problems. In his first memoir a …