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The reverse isoperimetric problem for Gaussian measure

โœ Scribed by Keith Ball

Book ID
110560959
Publisher
Springer
Year
1993
Tongue
English
Weight
281 KB
Volume
10
Category
Article
ISSN
0179-5376

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๐Ÿ“œ SIMILAR VOLUMES

A Functional Form of the Isoperimetric I
A Functional Form of the Isoperimetric Inequality for the Gaussian Measure
โœ S. Bobkov ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

Let g be a smooth function on R n with values in [0, 1]. Using the isoperimetric property of the Gaussian measure, it is proved that ,(8 &1 (Eg))&E,(8 &1 ( g)) E |{g|. Conversely, this inequality implies the isoperimetric property of the Gaussian measure.