Title:
A Characterization of Gaussian Measures via the Isoperimetric Property of Half-Spaces
A Characterization of Gaussian Measures via the Isoperimetric Property of Half-Spaces
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Author(s)
Bobkov, S. G.
Houdré, Christian
Houdré, Christian
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Abstract
If the half-spaces of the form {x\in R^n: x_1 \le c} are extremal in
the isoperimetric problem for the product measure \mu^n, n\ge 2, then
\mu is Gaussian.
Sponsor
ISF NXZ000, NXZ300 and Grant No. 94-1.4-57 from the Grant Center of Fundamental Sciences in Sankt-Petersburg University and an NSF Postdoctoral Fellowship
Date Issued
1995-07-25
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Text
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Pre-print