Title: ``Asymptotics of empirical measures of interacting particle systems on sparse graphs'' Abstract: We consider large systems of interacting particles in which the infinitesimal evolution of each particle depends on its own state as well as the (histories of) states…
Title: ``Space-Time Statistics on strange spaces: making it difficult to make it easier''. Abstract: Mathematical and statistical methods for spatial and space-time data have been traditionally developed by assuming the spatial domain to be a planar surface. Recently, the…
Title: ``Localization of the continuous Anderson hamiltonian in 1-d and its transition towards delocalization''.Abstract: We consider the 1-d random Schrodinger operator - d^2/d^x^2 + B’(x) on an interval of size L where the potential B’ is a white noise. We…