[Banach] Abstract of a paper by Franck Barthe, Chiara Bianchini, and Andrea Colesanti

This is an announcement for the paper "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. Archive classification: math.FA math.PR Submitted from: chiara.bianchini@iecn.u-nancy.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1102.3621 or http://arXiv.org/abs/1102.3621