An isoperimetric result for the Gaussian measure and unconditional sets

Franck Barthe (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Domaines: Physique mathématique [math-ph]

Franck Barthe. An isoperimetric result for the Gaussian measure and unconditional sets. Bulletin of the London Mathematical Society, 2001, 33 (?), pp.408--416. ⟨10.1017/S0024609301008141⟩. ⟨hal-00693715⟩