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arxiv: 1102.3621 · v1 · pith:TKKR7VYAnew · submitted 2011-02-17 · 🧮 math.FA · math.PR

Isoperimetry and Stability of Hyperplanes for Product Probability Measures

classification 🧮 math.FA math.PR
keywords half-spacesmeasuresprobabilityproductstabilityappliedcasesconsidering
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We investigate stationarity and stability of half-spaces as isoperimetric sets for product probability measures, considering the cases of coordinate and non-coordinate half-spaces. Moreover, we present several examples to which our results can be applied, with a particular emphasis on the logistic measure.

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