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Random polytopes in smooth convex bodies: corrigendum
Author(s) -
Bárány Imre
Publication year - 2004
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300015485
Subject(s) - regular polygon , polytope , mathematics , citation , library science , combinatorics , computer science , geometry
here 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. \s a result, in the statement of Theorem 2 the coefficient is not correct. The proper coefficient is given in the paper by Matthias Reitzner [2] in this olume. He gives, in fact, two proofs for computing the coefficient in question. thank him for pointing out my mistake and correcting it. The main result of my paper, Theorem 1, is not affected by this error since here / = 0 and the application of T does not change the measure. The paper j \ Schiitt [3] contains a generalization of Theorem 1 of [1] with the same oefficient.