Estimates and identities for the average distortion of a linear transformation

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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.
six pages

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Classical Analysis and ODEs, Dynamical Systems, 37D25; 49Q15

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http://salesiana.dossiersoluciones.com/handle/123456789/73575

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412260
 http://arxiv.org/abs/math/0412260

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arXiv