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Infinite Dimensional Isoperimetric Inequalities in Product Spaces with the Supremum Distance
Authors:F. Barthe
Affiliation:(1) Laboratoire de Statistique et Probabilités, CNRS UMR C5583, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France
Abstract:We study the isoperimetric problem for product probability measures with respect to the uniform enlargement. We construct several examples of measures mgr for which the isoperimetric function of mgr coincides with the one of the infinite product mgrinfin. This completes earlier works by Bobkov and Houdré.
Keywords:Isoperimetric inequalities   uniform enlargement
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