Henri Lebesgue Center

most citedWigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy

22 citations

researchers with a paper here

Massimiliano Gubinelli2 profiles2 · h 32
M. Falconi1 · h 13
R. Catellier1 · h 8
Z. Ammari1 · h 13

collaborating institutions

Centre National de la Recherche ScientifiqueFR1 paper
Institut de recherche mathématique de RennesFR1 paper
Université de RennesFR1 paper
Université Paris Dauphine-PSLFR1 paper
Université Rennes 1FR1 paper

2 papers

math.AP2014★ 22 cited

Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy

Zied Ammari, Marco Falconi

We consider the classical limit of the Nelson model, a system of stable nucleons interacting with a meson field. We prove convergence of the quantum dynamics towards the evolution…

math.PR2012★ 14 cited

Averaging along irregular curves and regularisation of ODEs

R. Catellier, M. Gubinelli

We consider the ordinary differential equation (ODE) $d x_{t} = b (t, x_{t}) d t + d w_{t}$ where $w$ is a continuous driving function and $b$ is a time-dependent vector field which poss…