Helffer-Sjöstrand representation for conservative dynamics (Q2906829)
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scientific article; zbMATH DE number 6077818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Helffer-Sjöstrand representation for conservative dynamics |
scientific article; zbMATH DE number 6077818 |
Statements
5 September 2012
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Ginzburg-Landau dynamics
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canonical Gibbs measure
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random walk representation
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monotonicity
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math.PR
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Helffer-Sjöstrand representation for conservative dynamics (English)
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This work studies the equilibrium correlations in canonical Gibbs measures, and in particular the Helffer-Sjöstrand representation of them. In certain one dimensional systems this representation allows interpreting such correlations as the occupation time of a random walk coupled to conservative Ginzburg-Landau dynamics. This construction allows proving several bounds on the relaxation to equilibrium.
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