Large population asymptotics for interacting diffusions in a quenched random environment

20 pages. Proceedings for the PSPDE-II conference (Braga, dec 2013).International audienceWe review some recent results on large population behavior of interacting diffusions in a random environment. Emphasis is put on the quenched influence of the environment on the macroscopic behavior of the system (law of large numbers and fluctuations). We address the notion of (non-)self-averaging phenomenon for this class of models. A guiding thread in this survey is the Kuramoto synchronization model which has met in recent years a growing interest in the literature