Asymptotic behavior of a tagged particle in simple exclusion processes
Srinivasa Varadhan | Landim, Claudio | Olla, Stefano
central limit theorem | interacting particle systems | tagged particles
We review in this article central limit theorems for a tagged particle in the simple exclusion process. In the first two sections we present a general method to prove central limit theorems for additive functional of Markov processes. These results are then applied to the case of a tagged particle in the exclusion process. Related questions, such as smoothness of the diffusion coefficient and finite dimensional approximations, are considered in the last section.