Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril Isoperimetry between exponential and Gaussian. (English) Zbl 1132.26005 Electron. J. Probab. 12, 1212-1237 (2007). The authors study isoperimetric problems involving product probability measures with tails between the exponetial and Gaussian regime. Furthermore, many examples are exhibited to show that the coordinate half-spaces are approximate solutions of the isoperimetric problem. Reviewer: James Adedayo Oguntuase (Abeokuta) Cited in 26 Documents MSC: 26D10 Inequalities involving derivatives and differential and integral operators 47D07 Markov semigroups and applications to diffusion processes Keywords:Isoperimetry; super-Poincaré inequality PDFBibTeX XMLCite \textit{F. Barthe} et al., Electron. J. Probab. 12, 1212--1237 (2007; Zbl 1132.26005) Full Text: DOI arXiv EuDML