The PI has published three papers in collaboration with Cyril Imbert and Luis Silvestre and one with Jessica Guerand in the newest line of research (Axis I of the proposal: Challenges in the regularity theory and stability for long-range non-local kinetic equations), has published two papers in collaborations with Eric Carlen and Joel Lebowitz and one long seminal paper with Emeric Bouin along the Axis IV of the proposal (Challenges in the asymptotic behaviour of open systems), and has made important progresses in collaboration with J. Bedrossian and N. Masmoudi along Axis II (Challenges on phase mixing and nonlinear stability) and, towards the end of the grant, has developed a new theory of hydrodynamic limit for stochastic lattice systems, making thus important progresses alone along Axis III (Challenges in the propagation of chaos); a simpler form of this new approach was published in the last period of the grant, while several follow-up papers are now being written about it. More than ten papers were also written by the postdocs and grad students of the group during the duration of the grant, with a vibrant scientific activity. These works have also contributed progresses along the axis of the project, in particular the graduate student Dominic Wynter (hired on the grant) made key progress on the understanding of propagation of chaos for the system of non-signed vortices. Yuzhe Zhu has published new results on the regularity theory of open kinetic systems with boundary conditions.
