A limit theorem for the position of a tagged particle in a simple exclusion process (Q1822147)
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scientific article; zbMATH DE number 4001163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A limit theorem for the position of a tagged particle in a simple exclusion process |
scientific article; zbMATH DE number 4001163 |
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A limit theorem for the position of a tagged particle in a simple exclusion process (English)
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1987
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The author proves a strong law of large numbers for the position of a tagged particle in a stationary simple exclusion process, which verifies a conjecture of \textit{T. M. Liggett} [Interacting particle systems. (1985; Zbl 0559.60078)]. For this purpose, the process relative to the tagged particle is studied. It is shown, that the Bernoulli measures conditioned on the existence of a particle at the origin, are extremal invariant for this process.
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strong law of large numbers
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stationary simple exclusion process
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tagged particle
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Bernoulli measures
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extremal invariant
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