2011/02/17 by Franck Barthe, Barthe, Franck, Chiara Bianchini +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Point processes and geometric inequalities #Probability (math.PR) #math.FA #math.PR
paper · pdf · doi:10.48550/arxiv.1102.3621
arxiv created 2011/02/17 · openalex publication_date 2011/02/17 · arxiv updated 2011/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.