7 citations · 29 across the 15 of their papers we have counts for
16 papers · 1 filter
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…
An equation on random variables and systems of fermions
Anne-Sophie de Suzzoni
In this paper, we consider an equation on random variables which can be reduced to the equation which describes the evolution of systems of fermions. We give some results of well-p…
On Gibbs measure and weak flow for the cubic NLS with non-localised initial data
Federico Cacciafesta, Anne-Sophie de Suzzoni
In this paper we prove the existence of an invariant measure for the cubic NLS on the real line in the sense that we prove the ex…
Invariant measure for the Schrödinger equation on the real line
Federico Cacciafesta, Anne-Sophie de Suzzoni
In this paper, we build a Gibbs measure for the cubic defocusing Schrödinger equation on the real line with a decreasing interaction potential, in the sense that the non linearity…
Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures
Anne-Sophie de Suzzoni
We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant…
Invariant measure for the Klein-Gordon equation in a non periodic setting
Anne-Sophie de Suzzoni
In this paper, we build a Gibbs measure for the 1d cubic Klein-Gordon equation on with a decreasing non linearity, in the sense that the non linearity is multipli…
On the use of normal forms in the propagation of random waves
Anne-Sophie de Suzzoni
We consider the evolution of the correlations between the Fourier coeficients of a solution of the Kamdostev-Petviavshvili II equation when these coefficients are initially indepen…
Consequences of the choice of a particular basis of for the cubic wave equation on the sphere and the Euclidian space
Anne-Sophie de Suzzoni
In this paper, the almost sure global well-posedness of the cubic non linear wave equation on the sphere is studied when the initial datum is a random variable with values in low r…
Large data low regularity scattering results for the 3D wave equation on the Euclidian space
Anne-Sophie de Suzzoni
We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the euclidian space. For this purpose, we will build a non trivial…
Invariant measure for the cubic wave equation on the unit ball of
Anne-Sophie de Suzzoni
This paper deals with the invariance of a measure on Sobolev spaces of low regularity under the flow of the cubic non linear wave equation on the unit ball of 3 under the assumptio…
Large data low regularity scattering results for the wave equation on the Euclidian space
Anne-Sophie de Suzzoni
We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the Euclidian space. For this purpose, we will build a non trivial…