Isoperimetry and Stability of Hyperplanes for Product Probability Measures
Functional Analysis
2011-02-18 v1 Probability
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.
Cite
@article{arxiv.1102.3621,
title = {Isoperimetry and Stability of Hyperplanes for Product Probability Measures},
author = {Franck Barthe and Chiara Bianchini and Andrea Colesanti},
journal= {arXiv preprint arXiv:1102.3621},
year = {2011}
}