6 papers
Obstruction to quasi-invariance of Gaussian measures under transport flows on Riemannian Manifolds
Anne-Sophie de Suzzoni, Mickaël Latocca
We prove an obstruction to quasi-invariance of Gaussian fields under divergence free transport flows on Riemannian manifolds. For the centered Gaussian field with covariance $(1-Δ_…
General remarks on the propagation of chaos in wave turbulence and application to the incompressible Euler dynamics
Anne-Sophie de Suzzoni
In this paper, we prove propagation of chaos in the context of wave turbulence for a generic quasisolution. We then apply the result to full solutions to the incompressible Euler e…
Global Strichartz estimates for the Dirac equation on symmetric spaces
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
In this paper we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension . In particular, we prove estimates for th…
A Dirac field interacting with point nuclear dynamics
Federico Cacciafesta, Anne-Sophie de Suzzoni, Diego Noja
The system describing a single Dirac electron field coupled with classically moving point nuclei is presented and studied. The model is a semi-relativistic extension of correspondi…
Weak dispersion for the Dirac equation on asymptotically flat and warped products spaces
Federico Cacciafesta, Anne-Sophie de Suzzoni
We prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy…
Invariance of Gibbs measures under the flows of Hamiltonian equations on the real line
Anne-Sophie de Suzzoni, Federico Cacciafesta
We prove that the Gibbs measures for a class of Hamiltonian equations written on the real line are invariant under the flow of th…