Abstract
We study the isoperimetric problem for product probability measures with respect to the uniform enlargement. We construct several examples of measures μ for which the isoperimetric function of μ coincides with the one of the infinite product μ ∞. This completes earlier works by Bobkov and Houdré.
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Barthe, F. Infinite Dimensional Isoperimetric Inequalities in Product Spaces with the Supremum Distance. Journal of Theoretical Probability 17, 293–308 (2004). https://doi.org/10.1023/B:JOTP.0000020695.25095.c1
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DOI: https://doi.org/10.1023/B:JOTP.0000020695.25095.c1