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