Isoperimetric and analytic inequalities for log-concave probability measures (Q1577743)
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scientific article; zbMATH DE number 1496112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isoperimetric and analytic inequalities for log-concave probability measures |
scientific article; zbMATH DE number 1496112 |
Statements
Isoperimetric and analytic inequalities for log-concave probability measures (English)
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8 July 2001
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It is shown that the probability measures on Euclidean space with logarithmically concave densities have positive isoperimetric constants in the sense of Cheeger and thus always share Poincaré-type inequalities. Then those log-concave measures are described which satisfy inequalities of Gaussian type.
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logarithmically concave measures
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isoperimetric inequalities
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Poincaré-type inequalities
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