Diffusion equation techniques in stochastic monotonicity and positive correlations (Q1263886)
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scientific article; zbMATH DE number 4128196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion equation techniques in stochastic monotonicity and positive correlations |
scientific article; zbMATH DE number 4128196 |
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Diffusion equation techniques in stochastic monotonicity and positive correlations (English)
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1991
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A diffusion equation approach is investigated for the study of stochastic monotonicity, positive correlations and the preservation of Lipschitz functions. Necessary and sufficient conditions are given for diffusion semigroups to be stochastically monotonic and to preserve the class of positively correlated measures. Applicatons are given which discuss the shape of the ground state for Schrödinger operators - \(\Delta +V\) with FKG potentials V.
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diffusion equation
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stochastic monotonicity
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positive correlations
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diffusion semigroups
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Schrödinger operators
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FKG potentials
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