Infinite Dimensional Isoperimetric Inequalities in Product Spaces with the Supremum Distance

F. Barthe ()
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F. Barthe: Université Paul Sabatier

Journal of Theoretical Probability, 2004, vol. 17, issue 2, 293-308

Abstract: 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.

Keywords: Isoperimetric inequalities; uniform enlargement (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTP.0000020695.25095.c1

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