Gaussian fluctuations for random walks in random mixing environments (Q814150)
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scientific article; zbMATH DE number 5003406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gaussian fluctuations for random walks in random mixing environments |
scientific article; zbMATH DE number 5003406 |
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Gaussian fluctuations for random walks in random mixing environments (English)
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6 February 2006
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The authors prove central limit theorems for multidimensional, ballistic random walks in a Gibbsian environment. The Gibbs measure describing the environment is for a finite-range potential (although it is claimed that this assumption can be weakened) and is assumed to satisfy the Dobrushin-Shlosman strong mixing (complete analyticity) condition. Also somewhat weaker results are derived when only the weak mixing condition of Dobrushin-Shlosman holds. Earlier such results were known only for independent environments.
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random environment
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central limit theorem
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Gibbs environment
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regeneration
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strong mixing
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