Philippe Moustrou

activity

20242026

collaborators

4 papers

math.MG2026

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 $L \subseteq R^{n}$ and a positive constant $I^\pm$ , the goal is to find…

math.CO2025

Obtuse almost-equiangular sets

Christine Bachoc, Bram Bekker, Philippe Moustrou +1

For $t \in [- 1, 1)$ , a set of points on the $(n - 1)$ -dimensional unit sphere is called $t$ -almost equiangular if among any three distinct points there is a pair with inner product $…

math.OC2024

Symmetric SAGE and SONC forms, exactness and quantitative gaps

Philippe Moustrou, Cordian Riener, Thorsten Theobald +1

The classes of sums of arithmetic-geometric exponentials (SAGE) and of sums of nonnegative circuit polynomials (SONC) provide nonnegativity certificates which are based on the ineq…

math.AG2024

Constructively describing orbit spaces of finite groups by few inequalities

Philippe Moustrou, Cordian Riener, Robin Schabert

Let $G$ be a finite group acting linearly on $R^{n}$ . A celebrated Theorem of Procesi and Schwarz gives an explicit description of the orbit space $R^{n} / / G$ as a…