Abstract
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.
Original language | English (US) |
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Pages (from-to) | 241-275 |
Number of pages | 35 |
Journal | Bulletin of the Brazilian Mathematical Society |
Volume | 31 |
Issue number | 3 |
State | Published - 2000 |
Keywords
- Central limit theorem
- Interacting particles systems
- Tagged particle
ASJC Scopus subject areas
- General Mathematics