Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique. (Fluctuations in the occupation time of a site in simple symmetric exclusion) (Q1088311)
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scientific article; zbMATH DE number 3990571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique. (Fluctuations in the occupation time of a site in simple symmetric exclusion) |
scientific article; zbMATH DE number 3990571 |
Statements
Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique. (Fluctuations in the occupation time of a site in simple symmetric exclusion) (English)
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1987
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It is proved that in the simple symmetric exclusion process the fluctuations of the occupation time of a site, properly renormalized, converge to a normal random variable. The normalizing function turns out to be the same as in the case without interaction. The proof is based on a central limit theorem for martingales.
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infinite particle system
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simple symmetric exclusion process
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fluctuations of the occupation time
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central limit theorem for martingales
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