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