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Estimates and identities for the average distortion of a linear transformation

Igor Rivin
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Abstract

For a linear transformation A from Rn to Rn, we give sharp bounds for the average distortion of A, that is, the average value of log of the euclidean norm of Au over all unit vectors u. This is closely related to the results of the author's paper math.DS/0312048.

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Igor Rivin. 2004-12-13. Estimates and identities for the average distortion of a linear transformation. https://arxiv.org/abs/math/0412260

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