Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\) (Q1193396)
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scientific article; zbMATH DE number 64563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\) |
scientific article; zbMATH DE number 64563 |
Statements
Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\) (English)
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27 September 1992
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The fluctuation field of the symmetric simple exclusion on \(\mathbb{Z}^ d\) is shown to converge to a generalized Ornstein-Uhlenbeck process in the hydrodynamic limit. The results are obtained using the martingale characterization of Holley and Stroock and estimates of the two point correlation functions.
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simple exclusion process
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generalized Ornstein-Uhlenbeck process
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hydrodynamic limit
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martingale characterization
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