155 citations · 475 across the 22 of their papers we have counts for
25 papers
Polarization of lattices: Stable cold spots and spherical designs
Christine Bachoc, Philippe Moustrou, Frank Vallentin +1
We consider the problem of finding the minimum of inhomogeneous Gaussian lattice sums: Given a lattice and a positive constant , the goal is to find t…
Towards a function field version of Freiman's Theorem
Christine Bachoc, Alain Couvreur, Gilles Zémor
We discuss a multiplicative counterpart of Freiman's theorem in the context of a function field over an algebraically closed field . Such a theorem would give a preci…
On the density of sets avoiding parallelohedron distance 1
Christine Bachoc, Thomas Bellitto, Philippe Moustrou +1
The maximal density of a measurable subset of R^n avoiding Euclidean distance1 is unknown except in the trivial case of dimension 1. In this paper, we consider thecase of a distanc…
The Theta Number of Simplicial Complexes
Christine Bachoc, Anna Gundert, Alberto Passuello
We introduce a generalization of the celebrated Lovász theta number of a graph to simplicial complexes of arbitrary dimension. Our generalization takes advantage of real simplicial…
Revisiting Kneser's Theorem for Field Extensions
Christine Bachoc, Oriol Serra, Gilles Zémor
A Theorem of Hou, Leung and Xiang generalised Kneser's addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjectur…
An analogue of Vosper's Theorem for Extension Fields
Christine Bachoc, Oriol Serra, Gilles Zemor
We are interested in characterising pairs of -linear subspaces in a field extension such that the linear span of the set of products of elements of and of e…