In this work, we investigate links between the formulation of the flow of marginals of
reversible diffusion processes as gradient flows in the space of probability measures and …

This work is a follow-up on [GOVW]. In that previous work a two-scale approach was used to
prove the logarithmic Sobolev inequality for a system of spins with fixed mean whose …

The main results of my work contribute to the mathematical study of microscopic non-
equilibrium systems that were first introduced in order to derive macroscopic physical laws …

Complex phenomena in nature and science are often described by partial differential
equations. The diffusion equation, which describes how substances spread out in space, is …

In this thesis, we are mainly interested in three topics: functional inequalities and their
probabilistic aspects, hydrodynamic limits for interacting continuous spin systems and …

In a recent paper by Grunewald et. al., a new method to study hydrodynamic limits was
developed for reversible dynamics. In this work, we generalize this method to a family of non …