Patrick Müller

We consider systems of stochastic differential equations that describe the dynamics of unbounded spin-systems where spins interact via long-range spatially variable interactions. We prove the convergence of certain empirical mesures under proper rescaling to solution of a pdf  (hydrodynamic limit) and we show that propagation of chaos holds. Finally, we derive a large deviation principle for on the space of paths of measures.

(joint work with A. Bovier (University of Bonn) and D. Ioffe (Technion Haifa))