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Gaussian measure of sections of dilates and translations of convex bodies
Authors:A Zvavitch  
Institution:aDepartment of Mathematical Sciences, Kent State University, Mathematics and Computer Science Building, Summit Street, Kent, OH 44242, USA
Abstract:In this paper we give a solution for the Gaussian version of the Busemann–Petty problem with additional information about dilates and translations. We also discuss the size of the Gaussian measure of the hyperplane sections of the dilates of the unit cube.
Keywords:Convex body  Sections of star-shaped body  Gaussian measure  Large deviation
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