Gaussian measure of sections of convex bodies |
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| Authors: | A Zvavitch |
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| Institution: | Department of Mathematics, University of Missouri, Columbia, MO 65211, USA |
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| Abstract: | In this paper we study properties of sections of convex bodies with respect to the Gaussian measure. We develop a formula connecting the Minkowski functional of a convex symmetric body K with the Gaussian measure of its sections. Using this formula we solve an analog of the Busemann-Petty problem for Gaussian measures. |
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| Keywords: | Convex body Gaussian measure Busemann-Petty problem |
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