Abstract
For isotropic convex bodies K in Rn 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.
S.G. Bobkov: Supported in part by the NSF grant DMS-0103929.
A. Koldobsky: Supported in part by the NSF grant DMS-9996431.
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© 2003 Springer-Verlag Berlin/Heidelberg
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Bobkov, S.G., Koldobsky, A. (2003). On the Central Limit Property of Convex Bodies. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36428-3_5
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DOI: https://doi.org/10.1007/978-3-540-36428-3_5
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