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

Asymptotic behavior of a tagged particle in simple exclusion processes. (English) Zbl 0983.60100

Bol. Soc. Bras. Mat., Nova Sér. 31, No. 3, 241-275 (2000).
The authors review central limit theorems for the position of a tagged particle in simple exclusion processes. They first present a general method to prove central limit theorems for additive functionals of ergodic Markov processes, which is then applied to the case of a tagged particle. Finally, they mention results on smoothness of the diffusion coefficient and finite-dimensional approximations.
Reviewer: M.Mürmann (Heidelberg)

Cited in 1 Review
Cited in 11 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60F05 Central limit and other weak theorems
60J55 Local time and additive functionals

Keywords:

simple exclusion processes; tagged particle; central limit theorem; additive functionals of Markov processes
PDFBibTeX XMLCite
\textit{C. Landim} et al., Bol. Soc. Bras. Mat., Nova Sér. 31, No. 3, 241--275 (2000; Zbl 0983.60100)
Full Text: DOI

References:

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