97 citations · 116 across the 9 of their papers we have counts for
10 papers
Mean-Field Limits in Statistical Dynamics
François Golse
These lectures notes are aimed at introducing the reader to some recent mathematical tools and results for the mean-field limit in statistical dynamics. As a warm-up, lecture 1 rev…
Time Dependent Quantum Perturbations Uniform in the Semiclassical Regime
François Golse, Thierry Paul
We present a time dependent quantum perturbation result, uniform in the Planck constant, for perturbations of potentials whose gradients are Lipschitz continuous by potentials whos…
Quantum and Semiquantum Pseudometrics and Applications
François Golse, Thierry Paul
We establish a Kantorovich duality for the pseudometric introduced in [F. Golse, T. Paul, Arch. Rational Mech. Anal. 223 (2017), 57--94], obtained from the usua…
Observability for the Schrödinger Equation: an Optimal Transport Approach
François Golse, Thierry Paul
We establish an observation inequality for the Schrödinger equation on , uniform in the Planck constant . The proof is based on the pseudometric introd…
Towards Optimal Transport for Quantum Densities
Emanuele Caglioti, François Golse, Thierry Paul
An analogue of the quadratic Wasserstein (or Monge-Kantorovich) distance between Borel probability measures on has been defined in [F. Golse, C. Mouhot, T. Paul: Com…
Semiclassical Evolution With Low Regularity
François Golse, Thierry Paul
We prove semiclassical estimates for the Schr\''odinger-von Neumann evolution with potentials and density matrices whose square root have either Wigner functions with low…