Among these are the universality classes of fluctuations in one-dimensional driven interacting systems. In addition to exact limit distributions found in special models, the correct order of fluctuations has been identified for a general class of asymmetric exclusion processes. Another area of recent progress is the large deviation behavior of nonequilibrium stationary states in systems in contact with a reservoir. Interesting new constructions have been presented, such as multilayer systems that represent the stationary distributions of systems with several species of particles, and direct connections between queueing models, random walks and combinatorial methods have been developed.


