Asymptotic behavior of a tagged particle in simple exclusion processes

C. Landim, S. Olla, Srinivasa Varadhan

Research output: Contribution to journalArticle

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 - 2000

Fingerprint

Tagged Particle
Exclusion Process
Central limit theorem
Asymptotic Behavior
Additive Functional
Finite-dimensional Approximation
Markov Process
Diffusion Coefficient
Smoothness
Review

Keywords

  • Central limit theorem
  • Interacting particles systems
  • Tagged particle

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Asymptotic behavior of a tagged particle in simple exclusion processes. / Landim, C.; Olla, S.; Varadhan, Srinivasa.

In: Bulletin of the Brazilian Mathematical Society, Vol. 31, No. 3, 2000, p. 241-275.

Research output: Contribution to journalArticle

Landim, C. ; Olla, S. ; Varadhan, Srinivasa. / Asymptotic behavior of a tagged particle in simple exclusion processes. In: Bulletin of the Brazilian Mathematical Society. 2000 ; Vol. 31, No. 3. pp. 241-275.
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