Isoperimetry and Stability of Hyperplanes for Product Probability Measures

Details Isoperimetry and Stability of Hyperplanes for Product Probability Measures Isoperimetry and Stability of Hyperplanes for Product Probability Measures

2011-02-17

arxiv.org/abs/1102.3621v1

Mathematics

Functional Analysis

Scientific paper

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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