3 papers
math.FA2026
Folded optimal transport and its application to separable quantum optimal transport
Thomas Borsoni
We introduce folded optimal transport, as a method to extend a cost or distance defined on the extreme boundary of a convex to the whole convex, related to convex extension. This c…
math.AP2025
Observability inequality for the von Neumann equation in crystals
Thomas Borsoni, Virginie Ehrlacher
We provide a quantitative observability inequality for the von Neumann equation on in the crystal setting, uniform in small . Following the method of Golse an…
math.AP2025
A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes
Thomas Borsoni, Laurent Boudin, Julien Mathiaud +1
In this article, we extend the Boltzmann framework for polyatomic gases by introducing quasi-resonant kernels, which relax resonant interactions, for which kinetic and internal ene…