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Isoperimetry and Stability of Hyperplanes for Product Probability Measures

By Franck Barthe, Chiara Bianchini and Andrea Colesanti

Abstract

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

Topics: Mathematics - Functional Analysis, Mathematics - Probability
Year: 2011
OAI identifier: oai:arXiv.org:1102.3621
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