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The Gaussian isoperimetric inequality and decoding error probabilities for the Gaussian channel

✍ Scribed by Tillich, J.-P.; Zemor, G.

Book ID
114638215
Publisher
IEEE
Year
2004
Tongue
English
Weight
178 KB
Volume
50
Category
Article
ISSN
0018-9448

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πŸ“œ SIMILAR VOLUMES

A Functional Form of the Isoperimetric I
A Functional Form of the Isoperimetric Inequality for the Gaussian Measure
✍ S. Bobkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.