Moderate deviations for mean-field Gibbs measures (Q1812193)
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scientific article; zbMATH DE number 1931518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moderate deviations for mean-field Gibbs measures |
scientific article; zbMATH DE number 1931518 |
Statements
Moderate deviations for mean-field Gibbs measures (English)
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21 January 2004
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A moderate deviations principle is provided for non-degenerate attractors of the empirical measure of random variables distributed according to a mean-field Gibbs measure. The result is an application of a rank-dependent moderate deviations principle for a collection of \(U\)-empirical processes. The results are applied to diffusion processes with mean-field interaction leading to a McKean-Vlasov limit, and to the Curie-Weiss model.
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Gibbs measures
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moderate deviations
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mean-field
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decoupling
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