3 papers
math.OC2023
A Duality-Based Proof of the Triangle Inequality for the Wasserstein Distances
François Golse
This short note gives a proof of the triangle inequality based on the Kantorovich duality formula for the Wasserstein distances of exponent in the case of a gener…
math-ph2022
Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions
Immanuel Ben Porat, François Golse
This paper discusses the mean-field limit for the quantum dynamics of identical bosons in interacting via a binary potential with Coulomb type singularity. Our ap…
math.AP2016
Quantization of Measures and Gradient Flows: a Perturbative Approach in the 2-Dimensional Case
Emanuele Caglioti, François Golse, Mikaela Iacobelli
In this paper we study a perturbative approach to the problem of quantization of measures in the plane. Motivated by the fact that, as the number of points tends to infinity, hexag…