Asymptotic behavior of a tagged particle in simple exclusion processes

C. Landim, S. Olla, S. R.S. Varadhan

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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 languageEnglish (US)
Pages (from-to)241-275
Number of pages35
JournalBulletin of the Brazilian Mathematical Society
Volume31
Issue number3
StatePublished - Dec 1 2000

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Keywords

  • Central limit theorem
  • Interacting particles systems
  • Tagged particle

ASJC Scopus subject areas

  • Mathematics(all)

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