Infinite-dimensional diffusion processes as Gibbs measures on \(C[0,1]^{Z^ d}\) (Q1087253)
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scientific article; zbMATH DE number 3988434
| Language | Label | Description | Also known as |
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| English | Infinite-dimensional diffusion processes as Gibbs measures on \(C[0,1]^{Z^ d}\) |
scientific article; zbMATH DE number 3988434 |
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Infinite-dimensional diffusion processes as Gibbs measures on \(C[0,1]^{Z^ d}\) (English)
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1987
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An infinite lattice system of interacting diffusion processes is characterized as a Gibbs distribution on \(C[0,1]^{Z^ d}\) with continuous local conditional probabilities. Using estimates for the Vasserstein metric on C[0,1], Dobrushin's contraction technique [\textit{R. L. Dobrushin}, Teor. Veroyatn. Primen. 15, 469-497 (1970; Zbl 0264.60037)] is applied in order to obtain information about macroscopic properties of the entire diffusion process.
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interacting diffusion processes
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Gibbs distribution
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continuous local conditional probabilities
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Dobrushin's contraction technique
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