An Isoperimetric Result for the Gaussian Measure and Unconditional Sets |
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| Authors: | Barthe F |
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| Institution: | CNRS, Université de Marne-la-Vallée, Équipe d'Analyse et Mathématiques Appliquées ESA 8050, Boulevard Descartes, Cité Descartes, Champs sur Marne, 77454 Marne la Vallée Cedex 2, France; barthe{at}math.univ-mlv.fr |
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| Abstract: | The paper studies an isoperimetric problem for the Gaussianmeasure and coordinatewise symmetric sets. The notion of boundarymeasure corresponding to the uniform enlargement is considered,and it is proved that symmetric strips or their complementshave minimal boundary measure. |
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