2 papers
math.FA2026
Nonlinear Lebesgue spaces: Dense subspaces, completeness and separability
Guillaume Sérieys, Guillaume Sérieys, Alain Trouvé +1
L^p spaces of mappings taking values in arbitrary metric spaces, which we call nonlinear Lebesgue spaces, play an important role in several fields of mathematics. For instance, mem…
math.DG2024
The graded group action framework for sub-riemannian orbit models in shape spaces
Thomas Pierron, Alain Trouvé
In the standard orbit model on shape analysis, a group of diffeomorphism on the ambient space equipped with a right invariant sub-riemannian metric acts on a space of shapes and in…