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Random polytopes in smooth convex bodies: corrigendum

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Imre Bárány
Imre Bárány
Affiliation:
Rényi Institute of Mathematics,Hungarian Academy of Sciences, POB 127, Budapest, 1364 Hungary Email: barany@renyi.hu and Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK Email: barany@math.ucl.ac.uk
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Extract

There is an error in the proof of Theorem 2 of my paper [1]. It appears on; age 91, lines 10 and 11: the application of the affine transformation T changes he measure on the Grassmannian G(d, d-i) which is not taken into account. As a result, in the statement of Theorem 2 the coefficient is not correct.

MSC classification

Secondary: 52A22: Random convex sets and integral geometry
Type
Research Article
Information
Mathematika , Volume 51 , Issue 1-2 , December 2004 , pp. 31
Copyright
Copyright © University College London 2004

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References

1.Bárány, I.. Random polytopes in smooth convex bodies. Mathematika, 39 (1992), 81–92.CrossRefGoogle Scholar
2.Reitzner, M. Stochastical approximation of smooth convex bodies. Mathematika, this volume.Google Scholar
3.Schütt, C.. Random polytopcs and affine surface area. Math. Nach., 170 (1994), 227–249.CrossRefGoogle Scholar