On the Central Limit Property of Convex Bodies

  • S. G. BobkovEmail author
  • A. Koldobsky
Part of the Lecture Notes in Mathematics book series (LNM, volume 1807)


For isotropic convex bodies K in R n with isotropic constant L K , we study the rate of convergence, as n goes to infinity, of the average volume of sections of K to the Gaussian density on the line with variance L K 2.

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.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of Mathematics, Mathematical Sciences BuildingUniversity of MissouriColumbiaUSA

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