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AN ISOPERIMETRIC RESULT FOR THE GAUSSIAN MEASURE AND UNCONDITIONAL SETS

Published online by Cambridge University Press:  25 July 2001

F. BARTHE
F. BARTHE
Affiliation:
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; [email protected]
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Abstract

The paper studies an isoperimetric problem for the Gaussian measure and coordinatewise symmetric sets. The notion of boundary measure corresponding to the uniform enlargement is considered, and it is proved that symmetric strips or their complements have minimal boundary measure.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 4 , July 2001 , pp. 408 - 416
Copyright
© The London Mathematical Society 2001

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