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Journal of Shanghai University >

2011 , Vol. 17 >Issue 3: 266 - 269

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.03.010

Mathematics.Physics and Chemistry

Gaussian Isotropic Convex Bodies

  • WANG Lei ,
  • HE Bin-Wu
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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2009-12-25

  Online published: 2011-06-24

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Abstract

Gaussian isotropic bodies and Gaussian isotropic constants were defined, and the existence and orthogonal invariability of Gaussian isotropic bodies were proved. By calculating the Gaussian isotropic constants of a ball and a cube, both with unit volume, we show that changes in the Gaussian isotropic constants in the Gaussian measure are opposite to those in the Lebesgue measure.

Key words：  convex body; Gaussian measure; isotropic constant

Cite this article

WANG Lei , HE Bin-Wu . Gaussian Isotropic Convex Bodies[J]. Journal of Shanghai University, 2011 , 17(3) : 266 -269 . DOI: 10.3969/j.issn.1007-2861.2011.03.010

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