Minicourse:
On fluctuations in interacting particle systems
In these talks, we consider a class of interacting particle systems on d dimensional lattices which model 'traffic' broadly understood, e.g. Exclusion and Zero-range systems. We discuss scaled fluctuation limits of local statistics, such as occupation times at sites and the motion of a distinguished, or tagged particle, as well as that of the bulk mass empirical density. A goal is to present some of the ideas in the subject, leading to open problems.
Some notes, in progress, are available. In the minicourse, after introduction of some particle systems, We will start with `local' fluctuations of occupation times L8, then of tagged particles L9, going to a brief synopsis of hydrodynamics L2, L3, L4, L5, and then to SPDEs associated to fluctuations of the hydrodynamics L10, L11.