On the Maximal Perimeter of a Convex Set in \(\mathbb{R}^n\) with Respect to a Gaussian Measure

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1807)

Abstract

  • Introduction

  • The Case A = In

  • The General Case

  • Correlation Inequality

  • Proof of the Estimate \(\Gamma (A) \geq c\sqrt{\mid\mid A \mid\mid_{H-S}}\)

  • References

Mathematics Subject Classification (2000):

46-06 46B07 52-06 60-06 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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